Lesson 1 Homework Practice
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1 Lesson 1 Homework Practice Congruence and Transformations Determine if the two figures are congruent b using transformations. Eplain our reasoning. 1. S R 2. E F C T H K G L J I GRPHIC DESIGN The rt Club designed the logo shown. What transformations did the use if the top trapezoid is the preimage and the bottom trapezoid is the image? 6. SCRPKING Charlotte used a stamp to create the pattern shown. What transformations did she use if parallelogram is the preimage and parallelogram is the image? Course 3 Chapter 7 Congruence and Similarit 99
2 NME DTE PERID Lesson 2 Homework Practice Congruence 1. Triangles C and GHI are congruent. Write congruence statements comparing the corresponding parts. Then determine which transformation(s) map C onto GHI. 2. Parallelograms CMP and SITE are congruent. Write congruence statements comparing the corresponding parts. Then determine which transformation(s) map parallelogram CMP onto parallelogram SITE. 3. Triangles LMN and XYZ are congruent. Write congruence statements comparing the corresponding parts. Then determine which transformation(s) map LMN onto XYZ. Course 3 Chapter 7 Congruence and Similarit 101
3 NME DTE PERID Lesson 3 Homework Practice Similarit and Transformations Determine if the two figures are similar b using transformations. Eplain our reasoning MURLS Jenna is creating a mural for her bedroom wall. She would like to cop a picture that is 2 inches b 2.5 inches. She uses a cop machine to enlarge it b a factor of 4. Then she projects it on her wall at a factor of 12. What are the dimensions of the mural? re the pictures similar? 6. ILGY Mr. Fletcher is looking at a 0.5 millimeter section of plant under a microscope. The plant section appears enlarged b a scale factor of 10 when looking through the microscope. He uses the camera on the microscope to photograph what is seen through the lenses at a scale factor of 20. What is the length of the section of plant in the photograph? Course 3 Chapter 7 Congruence and Similarit 105
4 Lesson 4 Homework Practice Properties of Similar Polgons Determine whether each pair of polgons is similar. Eplain Each pair of polgons is similar. Find each missing side measure TILES blue rectangular tile and a red rectangular tile are similar. The blue tile has a length of 10 inches and a perimeter of 30 inches. The red tile has a length of 6 inches. What is the perimeter of the red tile? Course 3 Chapter 7 Congruence and Similarit 107
5 Lesson 5 Homework Practice Similar Triangles and Indirect Measurement In Eercises 1 4, the triangles are similar. Write a proportion and solve the problem. 1. TREES How tall is Yori? 2. TRESURE HUNT How far is it from the hut to the gold coins? Shovel 25 ft 20 ft h ft 5 ft 18 d Silver Coins Hut 15 d d Gold Coins 12 d Jewels 3. LKE How deep is the water 31.5 feet from the shore? 6 ft 31.5 ft 2 ft C For Eercise 5, draw a diagram of the situation. Then write a proportion and solve the problem. D E d ft 5. RCH The Gatewa rch in St. Louis, Missouri, is 630 feet tall. Suppose a 12-foot-tall pole that is near the rch casts a 5-foot shadow. How long is the rch s shadow? 4. SURVEYING How far is it across the pond? Course 3 Chapter 7 Congruence and Similarit 109
6 Lesson 6 Homework Practice Slope and Similar Triangles Graph each pair of similar triangles. Then write a proportion comparing the rise to the run for each of the similar slope triangles and find the numeric value. 1. EFG with vertices E(1,9), F(1,5), and G(2,5); GHI with vertices G(2,5), H(1,2), and I(3,1) 2. JNL with vertices J(-3,3), N(-3,-3), and L(5,-3); KML with vertices K(1,0), M(1,-3), and L(5,-3) 3. RST with vertices R(1,6), S(1,-6), and T(-3,-6); UVW with vertices U(-1,0), V(-1,-3), and W(-2,-3) 4. DEF with vertices D(-6,5), E(-6,2), and F(-2,2); FMW with vertices F(-2,2), M(-2,-4), and W(6,-4) Course 3 Chapter 7 Congruence and Similarit 111
7 Lesson 7 Homework Practice rea and Perimeter of Similar Figures For each pair of similar figures, find the perimeter of the second figure in. 20 ft 10 ft 3 in. = 12 in. =? = 48 ft =? cm 10 cm = 30 cm =? 9 in. 6 in. = 30 in. =? m 18 m =135 m =? 6. triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches. Find the area of the larger triangle. 7. rectangle has a side length of 3 feet and an area of 24 square feet. larger similar rectangle has a corresponding side length of 9 feet. Find the area of the larger rectangle. 8. FLWER GRDEN rectangular shaped flower garden has a length of 5 ards and an area of 15 square ards. neighbor s flower garden is similar and has a length of 7 ards. What is the area of the neighbor s flower garden? Round our answer to the nearest whole number. Course 3 Chapter 7 Congruence and Similarit 113
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