1. In a 30- 60- 90 right triangle, the longer leg is 6 times the square root of 3 cm. How long are the other two sides of the triangle?

a. shorter leg square root of 3 hypotenuse 6

b. shorter leg 6 times the square root of 3 hypotenuse 6

c. shorter leg 6 hypotenuse 12 times the square root of 3

d. shorter leg 6 hypotenuse 12

2. In a 45- 45- 90 right triangle, one of the legs is 4 inches. How long are the other two sides?

a. other leg 4 hypotenuse 4 times the square root of 2

b.other leg 4 hypotenuse the square root of 2

c. other leg 4 times the square root of 2 hypotenuse 4

d. other leg the square root of 2 hypotenuse 4

3.If a picture with a length of 5 inches is made larger using a ratio of similarity of 2:5, what is the new length of the picture?

a.10

b.12.5

c.15.5

d.25

4. A polygon has an area of 100 square inches and one of its sides is 20 inches long. If a second similar polygon has an area of 36 square inches, what is the length of the corresponding side in the second polygon?

a. 5 in.

b. 8 and 2 thirds in.

c. 12 in.

d. 33 and 1 third in.

5. The ratio of the areas of two similar polygons is 100:25. What is the ratio of their corresponding sides?

a. 2:1

b. 4:1

c. 5:1

d. 10:1