Scholarship Geometry
8-1 Worksheet
Name ____________________________________
1. Write a similarity statement comparing the three triangles in the diagram.
Find the geometric mean of each pair of numbers. Give the answer in simplest radical form.
2. 9 and 12
3. 16 and 25
4. 7 and 11
6.
7.
Find x, y, and z.
5.
Give each answer in simplest radical form.
8. AD = 12, and CD = 8. Find BD.
9. AC = 16, and CD = 5. Find BC.
10. AD = CD =
2 . Find BD.
11. An 8-inch-long altitude of a right triangle divides the hypotenuse into two segments. One
segment is 4 times as long as the other. What are the lengths of the two segments of the
hypotenuse?
12. Use similarity in right triangles to find x, y, and z.