Congruent Triangles & Corresponding Parts

Front

What are congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a criterion for triangle congruence stating that 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 criterion for triangle congruence stating that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If ∆ABC≅∆XYZ, what can we say about the corresponding sides?

Back

AB≅XY, BC≅YZ, AC≅XZ.

Tags

CCSS.8.G.A.2

Front

If ∠C in triangle ∆ABC is 40°, what is the corresponding angle in triangle ∆XYZ if they are congruent?

Back

∠F in triangle ∆XYZ is also 40°.

Tags

CCSS.8.G.A.2

Front

What is the relationship between corresponding parts of congruent triangles?

Back

All corresponding parts (sides and angles) of congruent triangles are equal.

Tags

CCSS.8.G.A.2

Front

How can you prove that two triangles are congruent using the SSS criterion?

Back

By showing that all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove that two triangles are congruent using the SAS criterion?

Back

By showing that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5