Congruent and Similar Triangles

Front

What are congruent triangles?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Angle (AA) Similarity Postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Side-Side (SSS) Similarity Theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

How do you determine if two triangles are similar using proportions?

Back

By comparing the ratios of the lengths of corresponding sides; if the ratios are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of congruent triangles?

Back

All corresponding angles of congruent triangles are equal.

Tags

CCSS.8.G.A.2

Front

What is the relationship between the angles of similar triangles?

Back

All corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.