Congruent Figures and Congruent Triangles Shortcuts

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size. They can be superimposed on each other.

Front

What does it mean when two angles are congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the SSS Congruence Theorem?

Back

The SSS (Side-Side-Side) Congruence Theorem 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 SAS Congruence Theorem?

Back

The SAS (Side-Angle-Side) Congruence Theorem 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 ASA Congruence Theorem?

Back

The ASA (Angle-Side-Angle) Congruence Theorem 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

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.

Front

What is the HL Congruence Theorem?

Back

The HL (Hypotenuse-Leg) Congruence Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

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

Back

If ∆ABC ≅ ∆XYZ, then AB ≅ XY, BC ≅ YZ, and AC ≅ XZ.

Front

If ∠A ≅ ∠M, what can we conclude about their measures?

Back

If ∠A ≅ ∠M, then the measure of angle A is equal to the measure of angle M.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

In congruent triangles, all corresponding parts (sides and angles) are equal.