Homework Corresponding Sides and Angles

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 is the Side-Side-Side (SSS) congruence criterion?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

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 Side-Angle-Side (SAS) congruence criterion?

Back

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

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.A.2

Front

How do you denote congruence between two triangles?

Back

Using the symbol '≅', for example, ∆ABC ≅ ∆DEF.

Tags

CCSS.8.G.A.2

Front

What is the relationship between corresponding angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are equal in length.

Tags

CCSS.8.G.A.2

Front

What is the purpose of a congruency statement?

Back

To express that two geometric figures are congruent and to identify corresponding parts.

Tags

CCSS.8.G.A.2

Front

What is the definition of corresponding sides in triangles?

Back

Sides that are in the same relative position in two different triangles.

Tags

CCSS.8.G.A.2

Front

What is the definition of corresponding angles in triangles?

Back

Angles that are in the same relative position in two different triangles.

Tags

CCSS.2.G.A.1