Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but not necessarily the same size.

Front

What does it mean for two shapes to be similar?

Back

They have the same shape, but different sizes.

Front

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

Back

Their corresponding angles are equal.

Front

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

Back

Their corresponding sides are proportional.

Front

Back

Front

True or False: Corresponding sides in similar figures must be proportional.

Back

True.

Front

What is the ratio of the sides of two similar triangles if one triangle has sides of length 3 and the other has sides of length 6?

Back

The ratio is 1:2.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 and side DE is 8, what is the scale factor?

Back

The scale factor is 2.

Front

What is the relationship between the areas of two similar triangles with a scale factor of k?

Back

The ratio of their areas is k^2.

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 5 and side PQ is 10, what is the length of side YZ if side QR is 20?

Back

YZ = 10.