Similar Triangles and Proportions Flashcard

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Front

Are the triangles similar?

Back

Yes

Front

Solve the proportion: 3/5 = k/15

Back

k=9

Front

Solve the proportion: 4/q = 2/8

Back

q=8

Front

Find the missing side in the proportion: 5/x = 10/20

Back

x=10

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes; corresponding angles are equal and corresponding sides are proportional.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

Their corresponding angles are congruent.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their corresponding sides?

Back

1:2

Front

What is the scale factor of two similar triangles if the lengths of their corresponding sides are 3 and 9?

Back

1:3

Front

If the sides of triangle XYZ are in the ratio 2:3, what is the ratio of their areas?

Back

4:9