Triangle Congruence and Similarity Review

Front

What is the definition of congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a rule that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a rule that states 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, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSA stand for in triangle congruence?

Back

Side-Side-Angle; this condition does not guarantee triangle congruence.

Tags

CCSS.8.G.A.2

Front

What is CPCTC?

Back

Corresponding Parts of Congruent Triangles are Congruent; a principle used after proving triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Angle-Angle (AA) similarity criterion?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles and sides of similar triangles?

Back

The corresponding angles are equal, and the lengths of corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

If the supplement of an angle is 65°, what is the measure of the angle?

Back

115°.

Tags

CCSS.7.G.B.5

Front

How do you determine if two triangles are congruent using the SSS rule?

Back

If all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5