Unit 5 Congruent Triangles

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 their corresponding sides and angles are equal.

Front

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

Back

AB≅XY, BC≅YZ, AC≅XZ.

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.

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.

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.

Front

If ∆LMK ≅ ∆LMT, what can we say about ∠K and ∠T?

Back

∠K ≅ ∠T.

Front

What is the definition of corresponding angles in congruent triangles?

Back

Corresponding angles are angles that are in the same relative position in two different triangles that are congruent.

Front

What is the definition of corresponding sides in congruent triangles?

Back

Corresponding sides are sides that are in the same relative position in two different triangles that are congruent.

Front

If two triangles have two pairs of equal angles, what can we conclude about the triangles?

Back

The triangles are congruent by the ASA Congruence Postulate.

Front

What is the relationship between the angles in congruent triangles?

Back

All corresponding angles in congruent triangles are equal.