Similarity Flashcard

Front

Are the triangles similar?

Back

Yes

Front

Which triangles are similar to triangle A?

Back

Both B and C are similar to triangle A.

Front

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

Back

proportional, congruent

Front

If two figures are similar, the corresponding sides are ______________.

Back

proportional

Front

Find side length X if triangle A is similar to triangle B and the ratio of their sides is 5:3. If one side of triangle A is 25, what is the corresponding side in triangle B?

Back

15

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

If triangle A has sides of lengths 6, 8, and 10, and triangle B has sides of lengths 9, 12, and 15, are the triangles similar?

Back

Yes, because the ratios of corresponding sides are equal (6:9 = 8:12 = 10:15).

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If two triangles are similar and the length of one side of the first triangle is 12 and the corresponding side of the second triangle is 8, what is the scale factor?

Back

The scale factor is 2:3.

Front

In similar figures, if the ratio of the sides is 4:5, what is the ratio of their areas?

Back

The ratio of their areas is 16:25.