Similar Triangles Practice

Front

What are 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

What does it mean for sides to be proportional in similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 6, DE = 9, what is the ratio of their corresponding sides?

Back

The ratio is 6:9 or 2:3.

Front

What is the relationship between the angles of similar triangles?

Back

All corresponding angles in similar triangles are congruent.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if: 1) Their corresponding angles are equal, or 2) The lengths of their corresponding sides are proportional.

Front

If two triangles have sides of lengths 3, 4, and 5, and 6, 8, and 10, are they similar?

Back

Yes, because the sides are in the ratio 3:6 = 1:2, 4:8 = 1:2, and 5:10 = 1:2.

Front

What is the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If triangle XYZ is similar to triangle PQR and the length of XY is 10 and PQ is 5, what is the scale factor?

Back

The scale factor is 10:5 or 2:1.

Front

What is the significance of the AA criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

If the sides of triangle ABC are 5, 12, and 13, and triangle DEF is similar to ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

The sides of triangle DEF are 10, 24, and 26.