Ms. Terkper's Digital Classroom

1. In similar polygons, corresponding sides are ___ and corresponding angles are ___.

A. congruent, proportional B. proportional, congruent C. congruent, congruent D. proportional, proportional

2. Are these triangles similar?
Angles in Triangle 1: 40⁰, 60⁰, and 80⁰
Angles in Triangle 2: 40⁰, 50⁰, and 90⁰

A. Yes B. No C. There is not enough information to decide

3. Rectangle ABCD is similar to rectangle PQRS. If AB = 7.2 cm, BC = 5.7 cm, and PQ = 4.8 cm, determine the length of QR.

A. 8 cm B. 4 cm C. 1.5 cm D. 3.8 cm

4. Two similar triangles have a scale factor of 3:5. If the smaller triangle's side is 9 cm, what is the corresponding side length in the larger triangle?

A. 12 cm B. 15 cm C. 10 cm D. 13.5 cm

5. Two similar triangles have areas of 24 cm² and 54 cm². If the smaller triangle has a base of 6 cm, what is the length of the corresponding base in the larger triangle?

A. 9 cm B. 12 cm C. 15 cm D. 18 cm

6. Triangle ABC is similar to triangle DEF. If AB = 6 cm, BC = 8 cm, and DE = 9 cm, what is the length of EF?

A. 12 cm B. 10 cm C. 14 cm D. 15 cm

7. Triangle ABC is similar to Triangle DEF. If the perimeter of Triangle ABC is 30 cm and the perimeter of Triangle DEF is 48 cm, what is the length of a side of Triangle DEF corresponding to a 10 cm side of Triangle ABC?

A. 12 cm B. 14 cm C. 16 cm D. 18 cm

8. True or False: If two polygons are similar, their areas are proportional to the square of their corresponding side lengths.

A. True B. False

9. Triangle PQR is similar to triangle XYZ. If the perimeter of PQR is 18 cm and the perimeter of XYZ is 24 cm, what is the scale factor?

A. 3:4 B. 2:3 C. 4:5 D. 1:2

10. Two similar rectangles have areas of 12 cm² and 108 cm². If the smaller rectangle has a width of 3 cm, what is the width of the larger rectangle?

A. 6 cm B. 9 cm C. 12 cm D. 18 cm