Squares and Rectangles
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1 11 CHAPTER Squares and Rectangles Lesson 11.1 Squares and Rectangles Study the figure. Then fill in the blanks. 1. There are right angles. 2. There are equal sides. 3. There are pairs of parallel sides. 4. The fi gure is a. 5. There are right angles. 6. The opposite sides are. 7. There are pairs of parallel sides. 8. The fi gure is a. Extra Practice 4B 59
2 Study the figure. Then fill in the blanks. AB is parallel to CD. A B AC is parallel to BD. C D 9. There are right angles. 10. The opposite sides are. 11. There are pairs of parallel sides. 12. Is this fi gure a rectangle Why or why not EF is parallel to HG. HE is parallel to GF. H 13. There are right angles. 14. There are equal sides. 15. There are pairs of parallel sides. 16. Is this fi gure a square Why or why not E G F 60 Chapter 11 Lesson 11.1
3 Study the figure. Then fill in the blanks. TU is parallel to WV. T U W V 17. There are right angles. 18. There is/are pair(s) of parallel sides. 19. Is this fi gure a rectangle Why or why not Find the unknown side lengths. 20. ABCD is a square. 21. EFGH is a rectangle. B E 5 cm F 6 cm 3 cm A C H G D AD cm FG cm Extra Practice 4B 61
4 Find the unknown side lengths. 22. JKLM is a rectangle. Its length is three times its width. K 2 cm J L M JM cm 23. ABCD is a rectangle. Its shorter side is half the length of the longer side. A B 12 cm D C DC cm Draw one line segment to divide each figure. Form two rectangles Chapter 11 Lesson 11.1
5 Draw one line segment to divide each figure. Form two rectangles Draw one line segment to divide each figure. Form one square and one rectangle Extra Practice 4B 63
6 Draw two line segments to divide each figure. Form two squares and one rectangle Chapter 11 Lesson 11.1
7 Lesson 11.2 Properties of Squares and Rectangles All the figures are rectangles. Find the measure of the marked angles. 1. Find the measure of a. A 38 a B D C 2. Find the measure of b. E b 64 F H G 3. Find the measure of c. M N P 32 c O 4. Find the measure of d. P Q d S 45 R Extra Practice 4B 65
8 Find the lengths of the unknown sides. 5. The fi gure is made up of three rectangles. BC DE. Find the length of HG and DE. 2 cm F E C D 3 cm A B 14 cm 6 cm 6 cm H G 6. The fi gure is made up of two rectangles. Find the length of ST and RS. P 12 cm Q 12 cm 7. The fi gure is made up of three rectangles. Find the length of AJ and HG. 20 cm W A 3 cm J I R V 8 cm U 26 cm 20 cm D 11 cm E S T B 8 cm C F H G 66 Chapter 11 Lesson 11.2
9 Put on Your Thinking Cap! Solve. 1. The fi gure is made up of small and big squares. Find the total number of squares. 2. Look at the fi gure. What is the least number of rectangles that must be added to the fi gure to make a square Extra Practice 4B 67
10 3. The fi gure shows a square which is cut out of two identical overlapping rectangles. The length of each rectangle is three times the side width of the square. Find the width of each rectangle. 3 cm 6 cm 4. Draw line segments to divide the fi gure into three rectangles in three different ways Chapter 11 Put on Your Thinking Cap!
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Directions: Working with your group, cut out the shapes below and sort them into 3 groups based on similar characteristics.
Directions: Working with your group, cut out the shapes below and sort them into 3 groups based on similar characteristics. 1) In the space below, explain how you grouped your triangles. Label your groups: