Homework – Lesson 7.4
Geometry
Name __________________________
Sketch a picture then fine the geometric mean of each pair of numbers. Leave your answers in radical form, if needed.
1. 32 and 8
2. 4 and 16
3. 11 and 7
4. 2 and 22
Find the value of x. Leave your answers in radical form, if needed.
5.
6.
7.
8.
10.
9.
11. What is the geometric mean of 12 and 18?
a) 1.5
b)
6
c) 15
d) 6
12. What is the geometric mean of 2 and 36?
6
13. The altitude to the hypotenuse of the right triangle
divides the hypotenuse into segments of lengths
5 and 15. What is the length of the altitude?
a) 17
14.
b) 6
2
c) 38
d) 2
Solve for m.
a) 7
b) 15
c) 20
d) 25
6
Find the values of the variables.
15.
16.
17.
Review
The polygons are similar. Find the value of each variable. Round to the nearest tenth, if necessary.
18.
20. Are the 2 triangle similar? If yes, state the similarity ratio.
19.