Congruent Triangles

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then 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 congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then 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 congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

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

If two triangles have two pairs of congruent angles, what can be concluded about the triangles?

Back

The triangles are congruent by the AAS postulate.

Front

If two triangles have two pairs of congruent sides and the included angle is congruent, what can be concluded about the triangles?

Back

The triangles are congruent by the SAS postulate.

Front

If two triangles have all three pairs of congruent sides, what can be concluded about the triangles?

Back

The triangles are congruent by the SSS postulate.

Front

If two right triangles have congruent hypotenuses and one pair of congruent legs, what can be concluded about the triangles?

Back

The triangles are congruent by the HL postulate.

Front

Solve for x: If triangle ABC is congruent to triangle DEF, and AB = 5, DE = x, what is x?

Back

x = 5.