Triangle Congruence Statements

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

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

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-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-Side (AAS) Congruence Theorem?

Back

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, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Hypotenuse-Leg (HL) Congruence Theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If ∆ABC ≅ ∆LMN, what can we say about the corresponding angles?

Back

∠A ≅ ∠L, ∠B ≅ ∠M, ∠C ≅ ∠N.

Tags

CCSS.HSG.CO.B.7

Front

If AB ≅ XY, what can we conclude about the triangles that contain these segments?

Back

The triangles that contain segments AB and XY are congruent if the corresponding angles are also equal.

Tags

CCSS.HSG.CO.B.7

Front

What does the notation ∆ABC ≅ ∆XYZ indicate?

Back

It indicates that triangle ABC is congruent to triangle XYZ, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the definition of a congruent segment?

Back

Congruent segments are segments that have the same length.

Tags

CCSS.8.G.A.2