Triangle Congruence vs Similarity

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are proportional.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

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

Back

Their corresponding angles are congruent.

Front

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

Back

Their corresponding sides are proportional.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

How can you determine if two triangles are similar using AA?

Back

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