Congruent Triangles & Corresponding Parts

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 SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate states that 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 SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence Postulate states that 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 ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence Postulate states that 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 AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence Theorem states that 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 are corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the sides and angles that are in the same position in each triangle.

Tags

CCSS.8.G.A.2

Front

If ∆ABC≅∆XYZ, what can we conclude about the sides and angles?

Back

If ∆ABC≅∆XYZ, then AB≅XY, BC≅YZ, AC≅XZ and ∠A≅∠X, ∠B≅∠Y, ∠C≅∠Z.

Tags

CCSS.8.G.A.2

Front

How do you find the measure of an angle in a congruent triangle?

Back

To find the measure of an angle in a congruent triangle, use the fact that corresponding angles are equal.

Tags

CCSS.HSG.CO.B.7

Front

What is the relationship between the sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of equal angles, what can be said about their sides?

Back

If two triangles have two pairs of equal angles, the triangles are similar, and their corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2