13.4 Classify Quadrilaterals
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1 ? Name 13.4 lassify Quadrilaterals Essential Question How can you sort and classify quadrilaterals? Geometry and Measurement 4.6. MTHEMTIL PROESSES 4.1., 4.1.E Unlock the Problem quadrilateral is a polygon with four and four angles. You can name a quadrilateral by the vertices of its angles. Quadrilateral is a possible name for the figure shown at the right. Quadrilateral is not a possible name, since points and are not endpoints of the same side. ssume that line segments that appear to be parallel are parallel. ommon Quadrilaterals The tick marks on the line segments show that they have the same length. Sides and have the same length. Sides and have the same length. Trapezoid Parallelogram Rhombus Rectangle Square 1 pair of parallel 2 pairs of parallel 2 pairs of of equal length 2 pairs of parallel 4 of equal length 2 pairs of parallel 2 pairs of of equal length 4 right angles 2 pairs of parallel 4 of equal length 4 right angles ctivity 1 Identify right angles in quadrilaterals. Materials color pencils Use the Quadrilateral olor Guide to color the quadrilaterals. Quadrilateral olor Guide RE exactly 4 right angles LUE exactly 2 right angles ORNGE exactly 1 right angle Houghton Mifflin Harcourt Publishing ompany Math Talk Mathematical Processes an a quadrilateral have exactly 3 right angles? Explain. Module
2 ctivity 2 Use a Venn diagram to sort quadrilaterals. Write the names of the quadrilaterals in the Venn diagram. R F G Q E H P K L U V R N S J M T W Q Z Exactly 1 Pair of Parallel Sides Quadrilaterals 2 Pairs of Parallel Sides No Parallel Sides Try This! lassify each figure as many ways as possible. Write quadrilateral, trapezoid,,, rectangle, or square. a. b. c. 468 Houghton Mifflin Harcourt Publishing ompany
3 Name Share and Show 1. Tell whether the quadrilateral is also a trapezoid,,, rectangle, or square. Think: _ pairs of parallel _ of equal length _ right angles Quadrilateral is also a. lassify each figure as many ways as possible. Write quadrilateral, trapezoid,,, rectangle, or square Problem Solving Math Talk Mathematical Processes How would you classify a figure with 4, none of which are parallel? Explain. 5. Multi-Step Explain how a and square are alike, and how they are different. 6. ommunicate escribe the quadrilaterals you see in the diagram. Houghton Mifflin Harcourt Publishing ompany Module 13 Lesson 4 469
4 aily ssessment Task Mathematical Processes Fill in the bubble completely to show your answer. 7. What is the name of the figure shown below? rectangle trapezoid square 8. Jason wants to classify the figure below in as many ways as possible. Which shows how Jason classifies the figure? square, trapezoid, square, trapezoid quadrilateral, rectangle quadrilateral, trapezoid 9. Multi-Step Jane draws two quadrilaterals on construction paper, and then cuts them out. One quadrilateral has one more pair of parallel than the other quadrilateral. Which two quadrilaterals could Jane have drawn? and square and rectangle rectangle and trapezoid rectangle and square TEXS Test Prep 10. Which figure can never have 2 pairs of parallel? 470 trapezoid rectangle quadrilateral Houghton Mifflin Harcourt Publishing ompany
5 Homework and Practice Name Geometry and Measurement 4.6. MTHEMTIL PROESSES 4.1., 4.1.E 13.4 lassify Quadrilaterals lassify each figure as many ways as possible. Write quadrilateral, trapezoid,,, rectangle, or square Problem Solving 7. Explain how a trapezoid and a are alike, and how they are different. 8. Jake thinks that a is not always a. Is Jake correct? Explain. Houghton Mifflin Harcourt Publishing ompany Module 13 Lesson 4 471
6 Lesson heck TEXS Test Prep Fill in the bubble completely to show your answer. 9. What is the name of the figure shown below? 10. Peter wants to classify the figure below as many ways as possible. triangle quadrilateral Which shows how Peter classifies the figure?, rectangle, quadrilateral square,, rectangle trapezoid, rectangle, quadrilateral quadrilateral, rectangle, 11. What is the name of a quadrilateral that always has 4 right angles? 12. What is the name of the figure shown below? trapezoid rectangle trapezoid square 13. Multi-Step hris has 2 short craft sticks of equal length and 2 longer craft sticks of equal length. What are two quadrilaterals he can make with the sticks? 14. Multi-Step Miranda has four craft sticks of equal length. What are two quadrilaterals she can make with the sticks? 472 trapezoid and square and square and rectangle trapezoid and rectangle and square and trapezoid trapezoid and rectangle 2 rectangles that are not squares Houghton Mifflin Harcourt Publishing ompany
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