Similar Polygons and Proportions

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger. (smaller on top)

• 1 : 6

• 5 : 6

• 1 : 2

• 7 : 9

State if the triangles in each pair are similar.  If so, state how you know they are similar and complete the similarity statement.

• not similar

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

• not similar

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

• not similar

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

• not similar

Find the missing length. The triangles in each par are similar.

• 12

• 18

• 9

• 13

Solve for x. The triangles in each pair are similar.

• 5

• 14

• 8

• 13

Solve for x. The triangles in each pair are similar.

• 8

• 4

• 14

• 3

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger. (smaller on top)

• 3 : 10

• 1 : 2

• 7 : 10

• 4 : 5

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not proportional.