Triangle Congruence and Properties

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, triangle ABC is congruent to triangle ABC.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What is the SSS criterion for triangle congruence?

Back

SSS stands for Side-Side-Side, which states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What is the definition of congruent triangles?

Back

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

Front

What is the Vertical Angles Theorem?

Back

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

Front

What is the Transitive Property in triangle congruence?

Back

The Transitive Property states that if triangle A is congruent to triangle B, and triangle B is congruent to triangle C, then triangle A is congruent to triangle C.

Front

If ∠A ≅ ∠D, what can be inferred about these angles?

Back

If ∠A is congruent to ∠D, it means that they have the same measure.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which is essential for proving triangle congruence.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position on different parallel lines cut by a transversal.