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 does SSS stand for in triangle congruence?

Back

Side-Side-Side; a rule stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg; a rule used to prove the congruence of right triangles when the hypotenuse and one leg are equal.

Front

How can you determine if two triangles are congruent?

Back

By using congruence rules such as SSS, SAS, ASA, AAS, or HL.

Front

What is the SAS congruence rule?

Back

Side-Angle-Side; if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the ASA congruence rule?

Back

Angle-Side-Angle; if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the AAS congruence rule?

Back

Angle-Angle-Side; 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, the triangles are congruent.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means that if triangles are congruent, all their corresponding sides and angles are also equal.

Front

If triangle MRQ is congruent to triangle NRP, what can be said about their angles?

Back

The corresponding angles of triangles MRQ and NRP are equal.

Front

What is the value of x if two angles in a triangle are 45° and 90°?

Back

x = 45° (since the sum of angles in a triangle is 180°).