Common Assessment

Common Assessment 8th Math Unit #5 Name:______Period:______Similar Figures & Transformations 3. Josh is 1.8 meters tall. On a sunny day, Lenny measured Josh’s shadow and the 1. Brad drew a rectangular sketch in art class shadow of their house at the same time. If with dimensions 8 inches long by 10 inches the length of the house’s shadow is 5 times wide. He decided to dilate his sketch so that the length of Josh’s shadow, what is the the sketch would have a width of 15 inches. height of the house? What was the length of the new sketch?

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2. Triangle ABC is shown on the coordinate Record your answer and fill in the bubbles plane below. on your answer document. Be sure to use the correct place value.

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4. Esmeralda works in the snack bar at the movie theater. She serves popcorn in the two sizes shown below.

If a dilation image of Triangle ABC has a scale factor of 2, which ordered pair would NOT be a vertex of this dilation?

A. (4, 0) If the dimensions of the large box are B. (0, 4) proportional to the dimensions of the small box, what is the width, x, of the large box? C. (-4, -4) A. 2 D. (4, -4) B. 6

C. D. 10 7. A small garden was built inside an empty 5. Carl is a photographer. He has taken a lot. The two triangles formed are similar. photograph of a very tall statue. The length

of the shadow of this statue was 8 feet. What is the length of ? When he looked at the picture, he saw the shadow’s length was 3 centimeters and the height of the statue in this picture was 7 centimeters. What was the actual height, in feet, of the statue?

A. 3 ft.

B. 2 ft.

C. 15 ft. A. 5 ft.

B. 12 ft. D. 18 ft. C. 15 ft.

D. 6 ft.

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6. Triangle ABC is similar to Triangle DEF. 8. Myra’s sailboat has a small glass window that allows light to enter the cabin. The window is shaped like a rectangle with semicircles on both ends and has the dimensions shown in the diagram below.

What is the value of x?

Which of these measures is closest to the Record your answer and fill in the bubbles area of the glass window? (Use π = 3.14) on your answer document. Be sure to use the correct place value. A. 50.24 square inches B. 53.12 square inches C. 73.12 square inches D. 98.24 square inches 9. The graph below shows that Triangle ABC is 11. Triangle XYZ is translated so that X is mapped a dilation of Triangle DEF. to X'. Which coordinate pairs best represent Y' and Z'?

A. Y' (-3, -8); Z' (2, -3)

B. Y' (2, -6); Z' (-3, -6)

What is the scale factor used to create C. Y' (2,-3); Z' (-3,-8) Triangle ABC? D. Y' (2,-3); Z' (-3, -4) A. 1.0 B. 1.5 C. 2.0 D. 2.5 ______12. The local Teen Recreational Center plans to 10. Which set of ordered pairs represents the put new carpet on their game room floor. three vertices of Figure A reflected across The floor is in the shape of a square. If the the y-axis? perimeter of the floor is 144 feet, how many square feet of carpet will be needed to cover the floor?

A. 1,296 B. 48 C. 72 D. 5,184

A. (4, 2), (6, 2), (5, 5) B. (2,2), (7, 2), (-6, 5) C. (3, 2), (-6, 2), (5, 5) D. (3, 2), (7, 2), (5, 5)