Similarity and Proportions

Front

If two polygons are similar, then the corresponding side lengths are ___________.

Back

proportional

Front

If two polygons are similar, then the corresponding angles are ___________.

Back

congruent

Front

Solve for x. The triangles in each pair are similar: Triangle A has sides 3, 4, and 5. Triangle B has sides 6, 8, and x. What is x?

Back

10

Front

The ratio of the lengths of two similar triangles is 2:3. If the shorter triangle has a height of 4, what is the height of the longer triangle?

Back

6

Front

In similar triangles, if one triangle has a side length of 8 and the corresponding side in the other triangle is 12, what is the scale factor?

Back

3/2

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 5 and side DE is 10, what is the ratio of their areas?

Back

1:4

Front

Solve for x. The triangles in each pair are similar: Triangle X has sides 5, 12, and x. Triangle Y has sides 10, 24, and 30. What is x?

Back

15

Front

What is the relationship between the perimeters of two similar polygons?

Back

The ratio of their perimeters is equal to the ratio of their corresponding side lengths.

Front

If two triangles are similar and the length of one side of the first triangle is 9 and the corresponding side of the second triangle is 15, what is the scale factor?

Back

3/5

Front

In similar figures, if the lengths of the sides of one figure are doubled, what happens to the area?

Back

The area increases by a factor of four.