Geometry: 8.1 Worksheet 1. Find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

The polygons are similar. Find the value of x.
2. 3.
4. The triangles are similar. Identify the type of segment 5. RSTU ∼ ABCD. Find the ratio of their perimeters.
within the triangles and find the value of the variable.

Two polygons are similar. The perimeter of one polygon and the ratio of the corresponding side lengths are given. Find the perimeter of the other polygon.
6. perimeter of smaller polygon: 66 ft; ratio:����
7. perimeter of larger polygon: 85 m; ratio: ����
8. Your family has decided to put a rectangular patio in your backyard, similar to the shape of your backyard. Your backyard has a length of 45 feet and a width of 20 feet. The length of your new patio is 18 feet. Find the perimeters of your backyard and of the patio.
The polygons are similar. The area of one polygon is given. Find the area of the other polygon. 9. 10.
11. Describe and correct the error in finding the area of rectangle B. The rectangles are similar.
For #’s 12-15. JKLM ∼ EFGH.
12. Find the scale factor of JKLM to EFGH
13. Find the values of x, y, and z.
14. Find the ratio of the perimeters of JKLM to EFGH
15. Find the ratio of the areas of JKLM to EFGH
16. The two polygons are similar. Find the values of x and y.

Find the value of x.
17. 18. 19. 20.