Classifying Quadrilaterals

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Edward Peters
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1 Practice A 1. List the six major special quadrilaterals. Give all of the names that apply to each quadrilateral Give the name that best describes each quadrilateral Draw each figure. If it is not possible to draw, explain why. 8. A that is also a. 9. A that is also a.

2 Practice B Give all of the names that apply to each quadrilateral. Then give the name that best describes it Draw each figure. If it is not possible to draw, explain why. 7. A that is not a 8. A that is not a.. _

3 LESSON 8-7 Practice C Give all of the names that apply to each quadrilateral. Then give the name that best describes it Draw each figure. If it is not possible to draw, explain why. 4. a that is not a 5. a that is also a Name the types of quadrilaterals with each property. 6. exactly one pair of parallel sides 7. four congruent sides 8. Graph the points A(3, 3), B( 1, 5), C( 5, 1), and D(1, 4) and draw quadrilateral ABCD. What quadrilateral did you draw? 9. Graph the points W(1, 5), X(3, 2), Y(1, 5), and Z( 1, 2) and draw quadrilateral WXYZ. What quadrilateral did you draw?

4 Review for Mastery Quadrilaterals are polygons that have 4 sides. In the figures below, arrows are used to indicate parallel sides, and tick marks are used to indicate congruent sides. A is a quadrilateral with only one pair of parallel sides. A is a with all four sides congruent. A is a quadrilateral with two pairs of parallel sides. A is a with all four sides congruent. A is a with all four angles congruent. Use the figures to complete the statements. 1. The figure is a since it has pair of parallel sides. 2. The figure is a and a since it has pair(s) of parallel sides, and sides are congruent. 3. The figure is a and a and a and a since it has pair(s) of parallel sides, angles are congruent, and sides are congruent.

5 Review for Mastery Quadrilaterals are polygons that have 4 sides. In the figures below, arrows are used to indicate parallel sides, and tick marks are used to indicate congruent sides. A is a quadrilateral with only one pair of parallel sides. A is a with all four sides congruent. A is a quadrilateral with two pairs of parallel sides. A is a with all four sides congruent. A is a with all four angles congruent. Use the figures to complete the statements. 1. The figure is a since it has pair of parallel sides. 2. The figure is a and a since it has pair(s) of parallel sides, and sides are congruent. 3. The figure is a and a and a and a since it has pair(s) of parallel sides, angles are congruent, and sides are congruent.

6 Challenge It s Only a Quadrilateral! Match each picture with the list showing which quadrilaterals are found in the picture. 1. List A: 2. List B: 3. List C: 4. Draw a design on the rug using only the following quadrilaterals:,, and. You can use as many of each figure as you like, but all must be used at least once.

7 Problem Solving Write the correct answer. 1. A garden has 2 pairs of congruent sides. The congruent sides are not adjacent, and the angles are not all congruent. What is the shape of the garden? 2. A poster advertising an art show has 1 pair of parallel sides. All the angles are different, and none of the sides are congruent. What is the shape of this poster? 3. In a math report, Ming said that since a has 4 equal sides and a has 4 equal sides, all es are s. Is she correct? Explain. Choose the letter for the best answer. 5. Which type of quadrilateral do you see most in the painting? A B C D _ 4. A student was asked to give an example of a polygon that is not a quadrilateral and an example of a quadrilateral that is not a polygon. Is this possible? Why or why not? This is a drawing of Piet Mondrian s painting Composition Which type of quadrilateral does not appear to be in the painting? F G H J 7. Which statement is true about the painting? A There are no s. B There are only s. C There are only quadrilaterals. D None of the above 8. Which statement is true about the painting? F There are no triangles. G There are only s. H There are no s. J None of the above

8 Reading Strategies Use A Diagram Quadrilaterals are plane figures that have four sides and four angles. All the figures inside the largest region are quadrilaterals. Parallelograms have two sets of opposite sides that are parallel and congruent. Opposite angles are also congruent. All the figures inside the next largest region are s. Rectangles are quadrilaterals and s. They also have four right angles. Rhombuses are quadrilaterals and s with sides of equal length. Use the diagram above to help you complete each question. 1. All s are quadrilaterals, true or false? 2. Identify a quadrilateral that is not a. 3. Identify a quadrilateral that is also a. 4. All s are s, true or false? 5. Identify a with four equal sides. 6. A is a, true or false?

Puzzles, Twisters & Teasers Charge! Fill in the blanks to complete each statement. Use the letters above each number to solve the riddle below. means same size and shape.

9 Puzzles, Twisters & Teasers Charge! Fill in the blanks to complete each statement. Use the letters above each number to solve the riddle below. means same size and shape. 1 A has two pairs 2 of parallel sides. A has only one pair of parallel sides. 3 are four-sided polygons 4 that can have more than one name. A is a closed figure with three sides. 5 A has four right angles. 6 A is a figure without angles or straight lines. 7 A has four congruent sides and four right angles. 8 A has four congruent sides and no right angles. 9 Sides that are have a shared vertex. 10 How do you stop a rhinoceros from charging? Take away his

10 LESSON 8-7 Practice A 1.,,,,, kite 2.,,, , ; Possible answer is shown 9. It is impossible to draw. A has exactly one pair of parallel sides, while a has two. Practice B 1., ; 2. ; 3. ; 4., 5., ; 6.,, ; 7. It is impossible to draw. All s are s. A has two pairs of parallel sides, as does a. 8. Possible answer is shown. 5. It is impossible to draw. A has exactly one pair of parallel sides, while a has two , Review for Mastery 1. ; one 2. ; ; two; four 3. ; ; ; ; two; four; four Practice C 1., ;

11 Challenge 1. List A: List A: List B: List C: List B: List C: 4. Answers will vary, but student s designs should include only s, s, and rhombi, no s that are not s. Problem Solving No, a does not always have 4 right angles. 4. No, all quadrilaterals are polygons. 5. C 6. J 7. D 8. F Reading Strategies 1. true 2. Possible answer: 3. Possible answers:,, 4. false false Puzzles, Twisters & Teasers C O N G R U E N T P A R A L L E L O G R A M T R A P E Z O I D Q U A D R I L A T E R A L S T R I A N G L E R E C T A N G L E C I R C L E S Q U A R E R H O M B U S A D J A C E N T C R E D I T C A R D

ame Date Class Practice A 11. What is another name for a regular quadrilateral with four right angles?

ame Date Class Practice A 11. What is another name for a regular quadrilateral with four right angles? ame Date Class Practice A Polygons Name each polygon. 1. 2. 3. 4. 5. 6. Tell whether each polygon appears to be regular or not regular. 7. 8. 9. 10. What is another name for a regular triangle? 11. What