Triangle Relationships

Front

What is a similar triangle?

Back

A triangle that has the same shape as another triangle but may differ in size. The corresponding angles are equal, and the sides are in proportion.

Front

What is the Angle-Angle (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 sum of the angles in a triangle?

Back

180 degrees.

Front

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

Back

The lengths of their corresponding sides are in proportion.

Front

How do you find the measure of a missing angle in a triangle?

Back

Subtract the sum of the known angles from 180 degrees.

Front

If triangle A has angles of 30 degrees and 60 degrees, what is the measure of the third angle?

Back

90 degrees.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

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

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 4 cm, what is the corresponding side length in triangle B if the ratio is 2:1?

Back

2 cm.

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal, and their sides are not in proportion.