Triangle Congruence Proofs

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

List the criteria for triangle congruence.

Back

SSS, SAS, ASA, AAS, HL.

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 does HL stand for in triangle congruence?

Back

Hypotenuse-Leg: In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded about the triangles?

Back

The triangles are similar, but not necessarily congruent.

Front

What is the significance of a bisector in a triangle?

Back

A bisector divides an angle or a side into two equal parts, which can help in proving triangle congruence.

Front

If DA bisects IE, what can be inferred about segments ID and ED?

Back

ID = ED.