Triangle Congruence Proofs

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the Vertical Angle Theorem?

Back

The Vertical Angle Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.

Front

How can you prove that two triangles are congruent using the SSS criterion?

Back

The SSS criterion states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the definition of corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the angles and sides that are in the same relative position in each triangle.

Front

What is the significance of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle, and it is crucial in the SAS criterion for proving triangle congruence.

Front

What is the relationship between congruent angles and congruent triangles?

Back

If two angles of one triangle are congruent to two angles of another triangle, the triangles are congruent by the AA (Angle-Angle) criterion.

Front

What is the definition of the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that demonstrates the truth of a geometric statement or theorem.