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 in proportion.

Front

What is the AA similarity criterion?

Back

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

Front

What is the SSS similarity criterion?

Back

If the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

If two triangles have angles measuring 50° and 80°, what is the measure of the third angle?

Back

50° + 80° + x = 180°; x = 50°.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 8 cm and side DE is 12 cm, what is the ratio of their sides?

Back

The ratio of their sides is 8:12 or 2:3.

Front

What is a midsegment in a triangle?

Back

A segment that connects the midpoints of two sides of a triangle.

Front

If DE is a midsegment of triangle ABC, and AB = 32 cm, what is the length of DE?

Back

DE = 1/2 * AB = 16 cm.

Front

How can you determine if two triangles are similar using the angle-angle (AA) criterion?

Back

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

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.