CH 7 Geometry Test Review Name ___________________________

Define the following:1. Similarity in a polygon:

2. Hypotenuse of a right triangle

3. Ratio

4. Geometric Mean

5. Proportion

6. In similar polygons, which parts are congruent, and which parts are proportional?

7. Describe how to write a similarity statement for two or more similar polygons.

8. Draw a right triangle, and then draw the altitude from the right angle to the opposite side. Label the triangle ABC, and label the point where the hypotenuse is divided D. Then draw each of the triangles individually, and label the long leg, short leg, and hypotenuse of each triangle, as well as the vertices A,B,C and D as present. Then write a similarity statement for all three triangles.

Solve the following proportions for x:

9 . x+4x

=37 10. 7

3x−1= 1x−5

11. x−32

=5x 12. x−3

2=5x

Part III Find the geometric mean between:

13. 25 and 12 14. 18 and 11

15. 16 and 4 16. 14 and 3

Describe the polygons as similar or non-similar, and then explain your answer:

17.

18.

19.

For the similar triangles below, find the ratio from the smaller one to the larger one and write a similarity statement that includes the ratio.

20.

21.

22. The following polygons are similar. Find the value of x.

23. Find the value of the unknown sides if the polygons below are similar.

24. Find the value of x

12 16

25.

26.

27.

21 6

x

36

24

7

4

28. Solve for x, y and z.

Quadratic Equation: −b∓√b2−4ac2a