3.2 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 ∆XYZ ≅ ∆KLM, what can be said about the corresponding angles?

Back

If ∆XYZ ≅ ∆KLM, then ∠Y ≅ ∠L, ∠Z ≅ ∠M, and ∠X ≅ ∠K.

Front

What is the congruence statement for triangles PIG and COW if they are congruent?

Back

The congruence statement is ∆PIG ≅ ∆COW.

Front

If two triangles are congruent, how do their corresponding sides relate to each other?

Back

The corresponding sides of congruent triangles are equal in length.

Front

What is the measure of the third angle in a triangle if two angles are known?

Back

The measure of the third angle can be found using the formula: 180° - (measure of angle 1 + measure of angle 2).

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

The SSS criterion 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 Side-Angle-Side (SAS) criterion for triangle congruence?

Back

The SAS criterion 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

How can you determine if two triangles are congruent using the Hypotenuse-Leg (HL) theorem?

Back

The HL 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

What is the relationship between corresponding parts of congruent triangles?

Back

The corresponding parts of congruent triangles are equal, meaning corresponding angles are equal and corresponding sides are equal.