Quadrilateral Parallelogram Rhombus Rectangle Square Trapezoid

parallelogram, rhombus D. Trapezoid - a quadrilateral with only one pair of parallel sides. The diagonal bisects the area of a rectangle into two equal triangles. Two pairs of sides are parallel. Chapter 10 571 1. 36) Give the name that best describes the parallelogram and find the measures of the numbered angles. A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length). Practice 9-6 Practice 9-6 Rectangle, parallelogram Square, parallelogram, rhombus, rectangle Trapezoid Rhombus, parallelogram Sample answer: A square cannot be a trapezoid because it has two pairs of parallel sides. A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. Length of one side for maximum area of trapezoid (solution by. Diagonals of rectangle bisect each other and. A rhombus (looks like a diamond) has 4 equal side lengths and also has 2 pairs of parallel sides. Square Kite Trapezoid Isosceles Trapezoid. Since the perpendicular distance between parallel lines (the height) is constant (the same), the height measured from point B = height measured from point C. A right trapezoid has two right angles. the rectangle’s use in the real-life situation. A parallelogram has two pars at equal parallel sides. A square is a parallelogram with four congruent sides and four right angles. One common property of all quadrilaterals is that the sum of all their angles equals. Quadrilateral Definitions Trapezoid - A quadrilateral with at least one pair of opposite parallel sides. Cube Square Trapezoid Rhombus Choose all that describes this shape. Rhombus is a quadrilateral with all sides congruent. Parallelogram 5. Square, rectangle C. ) general parallelogram V. A figure is a Square IFF it is a quadrilateral with four congruent sides & four congruent angles. A right trapezoid has two right angles. So, it shows both the properties of rhombus and rectangle simultaneously. This quadrilateral has 2 pairs of parallel sides, so it is a parallelogram, but it does not have equal sides or right angles so it is not a square 17. Properties of a Rhombus: Has all the properties of a 4. A rhombus has all sides congruent. As you can see from the sketch below, the figure formed is a parallelogram. * A rectangle is a parallelogram with four right angles. A square is a rectangle. ABCD is a parallelogram, what are the values of x and y? y 20. Name the most specific quadrilateral that it can be. If it were a rhombus, the diagonals would be perpendicular. Determine the most precise name for the quadrilateral. Free worksheets for classifying quadrilaterals With this worksheet generator, you can make worksheets for classifying (identifying, naming) quadrilaterals, in PDF or html formats. • Parallelogram - A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Choose the shape that is a parallelogram and a rhombus. A Kite O Rhombus C. A quadrilateral has two congruent diagonals which bisect each other. Use the figure below for parts a & b: a. It is neither a square, nor a rectangle, nor a rhombus. ANSWER AB and CD are congruent and parallel. A quadrilateral that is both a rectangle and a rhombus. If it is not possible, explain. (continued) are , while opp. The parallel sides are called bases. They use the word trapezium to refer to what Canadians call a trapezoid. In the rhombus corollary it says that a quadrilateral is a rhombus if and only if it has four congruent sides. Rectangle: Quadrilateral where all four angles are right angles. rhombus, trapezoid, quadrilateral, square d. rhombus, trapezoid, quadrilateral, square. The opposite sides of the rhombus are parallel to each other and its angles are congruent to each other. 5th A quadrilateral with both pairs of opposite sides parallel. Trapezoid is a quadrangle, two opposite sides of which are parallel (Fig. In order for a quadrilateral to be a trapezoid, it must have exactly one pair of parallel sides. Rectangle Square Isoceles Trapezoid: both pairs of opposite sides are parallel: Parallelogram square rectangle rhombus: exactly one pair of opposite sides are parallel: Trapezoid Isoceles Trapezoids: all four sides are congruent: Rhombus Square: all four angles are congruent: Rectangle Square: Each diagonal bisects two angles of the polygon. Every rectangle is a quadrilateral. Below a few parallelograms are pictured. ) rhombus that is not a square III. rectangle c. A rectangle has equal opposite sides and 4 right angles. Use the table to solve problems 4–7. Square - Four sides, all the same length, all connected at right angles. QUADRILATERAL Trapezoid Parallelogram Rhombus Rectangle Square Trapezium Square: all sides of equal length, all interior angles are right Subscribe to view the full document. In this chapter, we shall learn the specific properties of parallelograms and rhombus. rectangle, square, quadrilateral, parallelogram, rhombus b. Types of Quadrilaterals Parallelograms. Chilly Classification of Quadrilaterals Answer Key Directions: Answer the following by classifying the quadrilaterals. Quadrilateral C. Parallelograms. Title: Geometry Worksheet -- Classifying Quadrilaterals (Squares. and explain. Given a parallelogram, find the indicated values (Problem #2a) Given a parallelogram, find the indicated values (Problem #2b) Decide if the polygon is a parallelogram (Problems #3-9) Find the indicated measure given a rectangle or rhombus (Problems #10-13) Find the indicated measure given a square or a rhombus (Problems #14-15). sides , but no opp. ) The three-level hierarchy you see with in the above quadrilateral family tree works just like A dog is a […]. 20 Name properties that a square, parallelogram, and rhombus have in common. Parallelograms properties Quadrilaterals Volume-and-area-of-cone-and-pyramid Understanding-quadrilaterals Profit-and-loss-questions Compound-interest Volumes-surface-and-area Percentage-and-its-application Properties-of-quadrilaterals Test paper Algebra Test paper redicals Rational number Profit and loss Work problem Power questions Read more. You could call it a regular quadrilateral, you could call it equal regular rhombus but the other key thing is that the diagonals are congruent, so basically a square is just putting together everything that you know about a parallelogram, about a rhombus and a rectangle. Is every parallelogram a rectangle?. Then, there's a square. Classifying Quadrilaterals 34. A quadrilateral with diagonals that are the perpendicular bisectors of each other. Quadrilateral Quiz Trapezoid Parallelogram Rectangle Square Rhombus 3) Trapezoid Parallelogram Rectangle Squ re Rhombus 4) Trapezoid Parallelogram Rectangle Square Rhombus 6) Name: Circle the names that describe each quadrilateral. quadrilateral, parallelogram, rhombus 5. So if a square is a rhombus, then what is the difference between a rhombus and a square? Both a rhombus and a square are parallelograms and quadrilaterals (which means they have four sides with parallel opposite sides). rhombus, square B. The students will create a Hierarchy Diagram using the terms: quadrilaterals, parallelogram, non parallelograms, rectangle, square, rhombus, trapezoid, kite, and other. rectangle d. Quadrilateral Definitions Trapezoid - A quadrilateral with at least one pair of opposite parallel sides. One common property of all quadrilaterals is that the sum of all their angles equals. So, a square can be classified in any of these three ways, with "parallelogram" being the least specific description and "square," the most descriptive. Some define a trapezoid as a quadrilateral having only one pair of parallel sides (the exclusive definition), thereby excluding parallelograms. Common Quadrilaterals. If their two pairs of sides are equal, it becomes a rhombus, and if their angles are equal, it becomes a square. Parallelogram A parallelogram is when both opposing pairs of sides on a quadrilateral are parallel. False; a trapezoid only has one pair of sides. A parallelogram with all sides equal 3. Diagonals are perpendicular. Perimeter = 4L; Rhombus. Plane Figures Geometry Math Quadrilaterals General Quad. Review quadrilaterals (trapezoid, parallelogram, rhombus, rectangle, kite, and square) with your child. mZl = sa. Every rhombus is a kite, and any quadrilateral that is both a kite and parallelogram is a rhombus. False; a trapezoid only has one pair of sides. We will describe the following types of quadrilaterals: parallelogram, rhombus, rectangle, square, trapezoid, kite and trapezium. We want to encourage students to justify why it can be all the names using the attributes defined. square, rectangle C. quadrilateral, parallelogram, rhombus, rectangle, square 14) quadrilateral, parallelogram 15) quadrilateral, parallelogram, rhombus 16) quadrilateral, trapezoid 17) quadrilateral, kite 18) quadrilateral, parallelogram, rectangle-2-Create your own worksheets like this one with Infinite Geometry. Cube Square Trapezoid Rhombus Choose all that describes this shape. Classify the fourth angle. The students will create a Hierarchy Diagram using the terms: quadrilaterals, parallelogram, non parallelograms, rectangle, square, rhombus, trapezoid, kite, and other. ) rhombus that is not a square III. isosceles trapezoid. Squares are the most regular quadrilateral and have the most properties. What shape is a quadrilateral with perpendicular bisectors? A rectangle, square, rhombus,or parallelogram? square and trapezoid are quadrilaterals. Then, there's a square. What about kites? Kites are quadrilaterals that can be. Create a three circle diagram on the carpet or other large area with tape, hula hoops, or other delineating materials. The area of a parallelogram is its base times its height. Every rhombus is a rectangle. Is every parallelogram a rectangle?. Parallelograms A parallelogram is a quadrilateral whose opposite sides are parallel. • Rhombus - A rhombus is a parallelogram with four congruent sides. 720 asked by supergirl on March 13, 2017. For example, there are six special types of quadrilaterals: trapezoid, parallelogram, rectangle, rhombus, square, and kite. They are classified as follows: Right Trapezoid. The of the trapezoid. The golden section is a ratio between the sides of a rectangle, that looks quite natural. Rectangle Square Trapezoid Parallelogram Kite Rhombus Explain your answer: Projector Resources Describing Quadrilaterals Shape Definitions Parallelogram: Quadrilateral with two pairs of parallel sides. Area of rhombus = ½ (AC × BD) Trapezoid (Trapezium) Trapezoid is a convex quadrilateral where at least two sides are parallel and unequal in length. Show all of your work. Quadrilaterals are four sided shapes. If a figure is both a rectangle (right angles) and a Rhombus (equal edge lengths), then it is a Square. An oblique projection, where a rectangle is shown as a parallelogram, is easier for this purpose. Parallelogram - a four-sided plane rectilinear figure with opposite sides parallel. parallelogram, rhombus D. The parallel sides of the trapezoid are known as the bases and the other two sides are called the legs. An octagon is convex. Must know how to problem a quadrilateral is a Parallelogram (5 ways) Rhombus (2 ways) Rectangle (2 ways) Square (2 ways) Trapezoid (and if it is an Isosceles Trapezoid) (You will fill in a chart listing the ways to do so ) II. A quadrilateral with two sets of parallel sides, 4 right angles, and 4 congruent (equal) sides is a _____. This Lesson (Difference between parallelogram,rectangle, square, rhombus and trapezoid) was created by by chillaks(0) : View Source, Show About chillaks : am a freelancer In this lesson we are going to deal with definition of parallelogram, rectangles, square, rhombus and trapezoid. If it is sometimes true, draw and describe a figure for which the statement is true and another figure for which the statement is not true. First of all, a rhombus is a parallelogram with four congruent sides. 7 Check Skills You'll Need GO for Help 6-1 306 1. Rhombus 4 / 4 All sides are equal length. In this section we are going to cover the six common quadrilaterals that you see all the time. - Label each Venn diagram with one of the following pairs of quadrilaterals - Square v. Quadrilaterals with 2 sets of parallel side are called parallelograms. Square - Four sides, all the same length, all connected at right angles. 3) A quadrilateral is convex. all bisected angles equal 45º. Always/Sometimes/Never 1) A square is a rhombus. rhombus, trapezoid, quadrilateral, square. A rhombus B rectangle C right triangle D trapezoid 7. Squares and rectangles are also parallelograms. (Labels are provided for the students) 2. For example, there are six special types of quadrilaterals: trapezoid, parallelogram, rectangle, rhombus, square, and kite. What they have in common with each other, what's different about them. All four sides are equal. When completed, click on answer to seet the relationship. • How many sides does each figure have? 4 Remind students how all the figures are quadrilaterals, even though they do not look alike. To find the perimeter of a Parallelogram all boundary sides are summed. Trapezoid B. We will list and prove the main theorems here. A square is also a rhombus because any quadrilateral with four congruent sides is a rhombus. Parallelogram got married and had two kids: rhombus and rectangle. Thus, casual language treats square and rectangle as distinct, rather than treating square as a special kind of rectangle, as mathematics does. Problem 37. the rectangle’s use in the real-life situation. 3) Have students go home and find a trapezoid, rectangle, square, and parallelogram. with vertices and. Quadrilaterals and Special Parallelograms. (square, rhombus, rectangle, parallelogram, kite, isosceles trapezoid, trapezoid) square, rhombus, rectangle, parallelogram I am a quadrilateral with exactly one pair of opposite sides always parallel. Rectangle 4. Parallelogram 9. parallelogram c. A rectangle comprises of four sides, where the longer lines parallel to each other is equal in length. add & subtract fractions with different denominators. Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. A quadrilateral with exactly one pair of parallel sides. A rhombus has all sides congruent. The trapezoid area calculator can help you calculate the area of a trapezoid without having to remember any confusing formulas for so many different shapes. • Rhombus - A rhombus is a parallelogram with four congruent sides. 720 asked by supergirl on March 13, 2017. The diagonals of a parallelogram bisect each other. rectangle, square, parallelogram c. isosceles trapezoid. A parallelogram is a quadrilateral whose opposite sides are parallel. RHOMBUS TRAPEZOID SQUARE RECTANGLE PARALLELOGRAM TRAPEZOID A parallelogram has two pairs of opposite parallel sides while a trapezoid has only one pair of parallel sides. Every rectangle is a rhombus. ) general parallelogram V. Two lines divide the shape into two rectangles and two lines are the diagonals of the shape. If it is not possible, explain. Parallelogram. Classify the special quadrilateral. If only one pair of opposite sides is required to be parallel, the shape is a trapezoid. The only parallelogram that satisfies that description is a square. In a square, rectangle, or rhombus, the opposite side lines are parallel. A rectangle is a quadrilateral with congruent angles. Kite Rhombus Square Isosceles Trapezoid Parallelogram 3. 3) Have students go home and find a trapezoid, rectangle, square, and parallelogram. If a rectangle has all four sides of equal length (in other words, adjacent sides are congruent), then the rectangle is called a square. Trapezoid w and n. 1) With a partner, create a venn diagram or a tree diagram which relates all quadrilaterals. Area formulas for all geometric figures. Below a few parallelograms are pictured. All parallelograms you cannot assume to be rhombi. parallelogram, rhombus, rectangle, square, trapezoid, kite Give all of the names that apply to each quadrilateral. RHOMBUS TRAPEZOID SQUARE RECTANGLE PARALLELOGRAM TRAPEZOID A parallelogram has two pairs of opposite parallel sides while a trapezoid has only one pair of parallel sides. A parallelogram has two pars at equal parallel sides. parallelogram c. Has only 1 pair of parallel sides. sides of a kite are not. The students will create a Hierarchy Diagram using the terms: quadrilaterals, parallelogram, non parallelograms, rectangle, square, rhombus, trapezoid, kite, and other. So, it shows both the properties of rhombus and rectangle simultaneously. Quadrilateral Parallelogram Parallelogram Parallelogram Rectangle Rhombus Square Square Rhombus Rectangle Trapezoid Parallelogram Isosceles Trapezoid Rhombus Quadrilaterals Within Quadrilaterals Point out to participants that a more in-depth discussion of this topic would lead quickly to the notion of proof. Between mentioned figures you can write following dependencies: Every rhombus is a parallelogram and a trapezoid. EG bisects FÑ, and bisects ÉG. Parallelogram 5. How can you describe some of the different figures? All quadrilaterals have 4 sides and 4. Opposite sides are congruent. Parallelogram 4 / 4 Opposite sides are equal length. True; a square is both a rectangle and a rhombus. ) rhombus that is not a square III. can anyone please tell me how to prove if a figure is a rectangle, square, rhombus, trapezoid or isoscoles? More questions A rhombus is always an example of a: Rectangle, Parallelogram, Square, or Trapezoid?. They use the word trapezium to refer to what Canadians call a trapezoid. Still, there is a distinguishing feature that in a rectangle the opposite angle is equal to 90 degrees, but in the case of a rhombus, the angles are not equal to 90 degrees. A rhombus is a quadrilateral. 9x-77 o Paralle Rhombus Square rom Rectangle Trapezoid Isosceles Trapezoid A trapezoid is a parallelogram. Theorem 1: If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram. For every other specified shape, the sides can be of different lengths. Angles can be any degree. Diagonals of rectangle bisect each other and. Its interior angles are all right angles. Specific types of quadrilaterals, like the rectangle, trapezoid and square, have more restrictive definitions. Properties of Quadrilaterals Description What quadrilaterals (Parallelogram, Rectangle, Kite, Rhombus, Square, Trapezoid, Isosceles Trapezoid) does the property shown belong to. Choose all of the following that it could be. A rhombus is also a parallelogram. A square is a special case of a rhombus of which all angles are the same (90 degrees). Kite Parallelogram Rectangle Rhombus Square Trapezoid. A rhombus is a quadrilateral with four sides of the same length. A rectangle is a parallelogram with a right angle. A pentagon is a polygon with five sides. 5th A quadrilateral with both pairs of opposite sides parallel. The highlighted part shows that the differences between a Square, a Rectangle and a Parallelogram. For other Americans, however, a trapezoid is a quadrilateral with one and only one pair of parallel sides, in which case a parallelogram is not a trapezoid. Quadrilateral - a figure having four straight sides. Diagonals in Quadrilaterals. Ask her to define the different quadrilaterals and explain their similarities and differences. Similarly, students tend to treat rectangles and parallelograms as disjoint classes, rather than seeing a rectangle as a special type of parallelograms. If the sides have equal lengths, then it is called a square. rhombus, trapezoid, quadrilateral, square d. Give the name that best describes each quadrilateral. Because squares have a combination of all of these different properties, it is a very specific type of quadrilateral. In this tutorial, the instructor shows how to compute the surface area of a regular pyramid. If you find the midpoints of each side of any quadrilateral , then link them sequentially with lines, the result is always a parallelogram. 360 esson 32 Classify Quadrilaterals ©urriculum ssociates opying is not permitted Solve. Others [7] define a trapezoid as a quadrilateral with at least one pair of parallel sides (the inclusive definition [8] ), making the parallelogram a special type of trapezoid. Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. Hence, any parallelogram may not be a rhombus. Properties of a Rectangle: Has all the properties of a 3. les a pair si&s. They use the word trapezium to refer to what Canadians call a trapezoid. Therefore, like a rectangle its opposite sides are congruent. Isosceles trapezoid, rhombus, rectangle, square, height of a trapezoid, trapezoid rule, polygon. In real-life applications, the perimeter is the fence around a yard or the frame around a picture. Tell whether the statements are true or false. An easy to use, free area calculator you can use to calculate the area of shapes like square, rectangle, triangle, circle, parallelogram, trapezoid, ellipse, and sector of a circle. A square is a special type of parallelogram whose all angles and sides are equal. As you can see from the sketch below, the figure formed is a parallelogram. (square, rhombus, rectangle, parallelogram, kite, isosceles trapezoid, trapezoid) square, rhombus, rectangle, parallelogram I am a quadrilateral with exactly one pair of opposite sides always parallel. A parallelogram is also a quadrilateral like the other common quadrilaterals rectangle and square. A parallelogram is _____ a rectangle. * If one pair of sides of a quadrilateral is BOTH parallel and congruent, the quadrilateral is a parallelogram. To link to this page, copy the following code to your site:. Plane Figures Geometry Math Quadrilaterals General Quad. 2: Describe, classify, and explain relationships among the quadrilaterals square, rectangle, rhombus, parallelogram, trapezoid, and kite; G. 2 Area of Quadrilateral. A rectangle with all sides equal and four right angles 4. Area of a triangle calculation using all different rules, side and height, SSS, ASA, SAS, SSA, etc. This Pin was discovered by My Math Imagination. Discover (and save!) your own Pins on Pinterest. Each smaller group has the same attributes as all the groups its connected to before it, along with some new attributes. Alan drew a polygon with four sides and four angles. Given a parallelogram, find the indicated values (Problem #2a) Given a parallelogram, find the indicated values (Problem #2b) Decide if the polygon is a parallelogram (Problems #3-9) Find the indicated measure given a rectangle or rhombus (Problems #10-13) Find the indicated measure given a square or a rhombus (Problems #14-15). In this article, we will discuss some special parallelograms – rhombus, rectangle and square. For rhombus in the coordinate plane, as shown, the quadrilateral determined by the midpoints (a, b), (–a, b), (a, –b), and (–a, –b) has one pair of opposite sides vertical (no slope) and the other pair horizontal (slope 0), so the quadrilateral is a parallelogram with perpendicular sides, or a rectangle. Draw each figure. * If one pair of sides of a quadrilateral is BOTH parallel and congruent, the quadrilateral is a parallelogram. No square is a rhombus. Rhombus A rhombus is a quadrilateral where all four sides have the same length. Every rhombus is a rectangle. A rectangle is a parallelogram that has four opposite, parallel, congruent sides. -Below the trapezoid, is the isosceles trapezoid that is another kind of trapezoid that the sides that are not parallel are equal in length. 3) A quadrilateral is convex. A rhombus is a quadrilateral. A square has equal sides and every angle is a right angle (90°) Also opposite sides are parallel. A Rhombus is a quadrilateral where all sides are the same length, so a Square is a special case of a Rhombus. This Geometry Worksheet may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn. A square is also a kite, a trapezium and of course a quadrilateral. A square can be defined as a rhombus which is also a rectangle - in other words, a parallelogram with four congruent sides and four right angles. Diagonals of rectangle bisect each other and. Quadrilateral Parallelogram equiangular) Example: Rhombus Isosceles Trapezoid Answer: rectangle (4 congruent angles Square Trapezoid Parallelogram Il. Hour: Trapezoid Parallelogram Rectangle Square Rhombus Trapezoid 2) Parallel ogram Rectangle Square Rhombus 5. A square is a parallelogram with four congruent sides and four right angles. A concave quadrilateral has at least one angle greater than 180°. A square has all the properties of a parallelogram, rhombus, and rectangle. quadrilateral, trapezoid, parallelogram, rhombus, rectangle, or square. Rectangle - A quadrilateral with all four angles congruent (equiangular). A quadrilateral consists of square, rectangle and rhombus. Review quadrilaterals (trapezoid, parallelogram, rhombus, rectangle, kite, and square) with your child. It is a rectangle. A figure is a Trapezoid IFF it is a quadrilateral with exactly 1 pair of parallel lines. All four sides are equal. Hence, any parallelogram may not be a rhombus. After we finished our warm-up, we took some notes on quadrilaterals and their critical attributes. Square, rectangle C. A quadrilateral is a rectangle if and only if all angles are congruent. Plan Objectives 1 To define and classify special types of quadrilaterals Examples 1 Classifying a Quadrilateral 2. isosceles trapezoid trapezoid kite square rectangle rhombus parallelogram Real-World Connection A "kite" is not the only special quadrilateral used to make a kite! 10. A trapezoid is a quadrilateral with exactly one pair of parallel sides. If the sides have equal lengths, then it is called a rhombus. PROVING A QUADRILATERAL IS A SQUARE: 1. *C) quadrilateral, parallelogram, rectangle D) parallelogram, rectangle ©S I2O0k1H6g aKKuHtpav XS\oAfjtjwLaHrZeV aLpLXCt. Trapezoid: A quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases) Isosceles trapezoid: A trapezoid in which the nonparallel sides (the legs) are congruent. An oblong is alternate name for any rectangle that is not a square. This tutorial introduces you to the rhombus and explains its unique qualities. In a square, rectangle, or rhombus, the opposite side lines are parallel. The five most common types are the parallelogram, the rectangle, the square, the trapezoid, and the rhombus. RHOMBUS TRAPEZOID SQUARE RECTANGLE PARALLELOGRAM TRAPEZOID A parallelogram has two pairs of opposite parallel sides while a trapezoid has only one pair of parallel sides. A rhombus is a parallelogram with four congruent sides. trapezoid is a quadrilateral having two parallel sides called bases. Trapezoid: one pair of parallel sides (def) Isosceles Trapezoid. A rhombus is a quadrilateral which means it has four sides. can anyone please tell me how to prove if a figure is a rectangle, square, rhombus, trapezoid or isoscoles? More questions A rhombus is always an example of a: Rectangle, Parallelogram, Square, or Trapezoid?. Objectives: •Define quadrilateral, parallelogram, rhombus, rectangle, square, trapezoid, and kite •Identify the properties of quadrilaterals and the. A rectangle is a special case of a parallelogram. Always/Sometimes/Never 1) A square is a rhombus. The following types of four-sided figures or quadrilaterals have their properties as: 1. Alan drew a polygon with four sides and four angles. Also, a parallelogram becomes a square when the diagonals are equal and right bisectors of each other. parallelogram, rhombus D. " But the important part here is that to Euclid, a square, for example, is neither a rectangle (oblong) nor a rhombus. PARALLELOGRAM: is a quadrilateral whose opposite sides are parallel. Quadrilaterals. So, it shows both the properties of rhombus and rectangle simultaneously. If you find the midpoints of each side of any quadrilateral , then link them sequentially with lines, the result is always a parallelogram. (In addition, the square is a special case or type of both the rectangle and the rhombus. In the rhombus corollary it says that a quadrilateral is a rhombus if and only if it has four congruent sides. • How many sides does each figure have? 4 Remind students how all the figures are quadrilaterals, even though they do not look alike. Because squares have a combination of all of these different properties, it is a very specific type of quadrilateral. Can you explain why a rhombus is a kite?. Always (rhombus is any quad. The square, rectangle, rhombus and rhomboid are considered parallelograms - tetragons with two pairs of parallel sides.