Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the symbol for congruence?

Back

≅

Front

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

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Front

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

Back

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

Front

What is the criteria for triangle congruence using Side-Angle-Side (SAS)?

Back

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 criteria for triangle congruence using Angle-Side-Angle (ASA)?

Back

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 criteria for triangle congruence using Angle-Angle-Side (AAS)?

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, the triangles are congruent.

Front

What is the definition of an isosceles triangle?

Back

A triangle with at least two sides of equal length.

Front

What is the definition of a scalene triangle?

Back

A triangle with all sides of different lengths.

Front

What is the definition of an equilateral triangle?

Back

A triangle with all three sides of equal length.