Triangle Congruence

Front

What is the sum of all three angles of a triangle?

Back

180 degrees.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

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 does ASA stand for in triangle congruence?

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 does AAS stand for in triangle congruence?

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 definition of congruent triangles?

Back

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

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 an equilateral triangle?

Back

A triangle with all three sides of equal length and all three angles equal to 60 degrees.

Front

What is the definition of a scalene triangle?

Back

A triangle with all sides of different lengths and all angles of different measures.

Front

How can you prove that two triangles are not congruent?

Back

If any corresponding sides or angles are not equal, the triangles are not congruent.