Similar Figures Name:_________________ Date:_____ Group:______

1. Similar Figures Name:_________________ Date:_____ Group:______ • Do Now: • 1. Let Q = (-3, 4), R = (1, 3), S = (2, -2), and T = (-2, -3). • a. Graph QRST at the right. • b. Give the coordinates of Q’, R’, S’, and T ’, • where Q’R’S’T ’ is the image of QRST • under the size change or size • transformation S2, which means (2x,2y). • Q’ = R ’= • S ’ = T ‘ = • c. Graph Q’R’S’T’. 2. Describe the size transformation, Sk (see p.694) 3. When is a size transformation (see p.693) a. an expansion? b. a contraction? c. the identity transformation?

2. 4a. What is a ratio? (see p.705) b. Give three examples of ratios. 5a. What is a proportion? (see p.706) b. Give three examples of proportions. c. Write a proportion and label its means and its extremes. 5. ∆AWD is the image of ∆UPO under a size change. Write three equal ratios involving the sides of these triangles. 6. If 2.5 pounds of roast beef cost $9.98, what should 6 pounds of roast beef cost? 7. A computer printer prints 100 pages in 12 minutes. At that rate, how long would it take to print 750 pages?

3. 8. Anita designed a campaign sign on her computer and printed it out on a sheet of • paper 8.5 in. wide. She took it to a copy store to be made into a poster 18 in. wide. • a. Find the size change factor (ratio) of the enlargement. • b. The lettering on the sign Anita printed is .75 in. • tall. About how tall is it on the poster? • c. If Anita’s sign is 11 in. long, what is the • minimum length the poster can be so that • nothing from the original sign is cut off? 9. Give the similar figures theorem (see p. 713) 10. TILE  WALK, with sides and measures as indicated. Find as many missing lengths and angle measures as possible.