TRIANGLE POSTULATES

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states 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

SAS stands for Side-Angle-Side, a postulate that states 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

ASA stands for Angle-Side-Angle, a postulate that states 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 HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a postulate that applies to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

If ∆ABC is congruent to ∆DEF, what can we say about ∠A and ∠D?

Back

∠A is congruent to ∠D.

Front

What is the Reflexive Property of Congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What is the Transitive Property of Congruence?

Back

The Transitive Property states that if two figures are congruent to a third figure, then they are congruent to each other.

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 information is needed to prove triangles congruent using SAS?

Back

You need two sides and the included angle to be congruent.