Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If triangles ABC and DEF are congruent, what can we say about their corresponding parts?

Back

The corresponding sides and angles of triangles ABC and DEF are equal: AB ≅ DE, BC ≅ EF, AC ≅ DF and ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

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

Back

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

Front

What is the SAS (Side-Angle-Side) 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.

Front

What is the ASA (Angle-Side-Angle) 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.

Front

What is the AAS (Angle-Angle-Side) 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.

Front

What is the HL (Hypotenuse-Leg) 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.

Front

If triangles ABC and RST are congruent, what can we conclude about their angles?

Back

The corresponding angles are equal: ∠A ≅ ∠R, ∠B ≅ ∠S, ∠C ≅ ∠T.

Front

What does it mean if two triangles are not congruent?

Back

It means that at least one pair of corresponding sides or angles is not equal.