Triangle Congruence SSS, SAS, ASA, AAS, & HL

Front

What does SSS stand for in triangle congruence?

Back

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

AAS stands for Angle-Angle-Side, a postulate stating that 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

HL stands for Hypotenuse-Leg, a postulate used specifically for 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 ∆EHG≅∆KFC, what can we conclude about the sides EH and FK?

Back

EH≅FK, meaning the sides are congruent.

Front

If two triangles have two pairs of congruent angles, what postulate can be used to prove they are congruent?

Back

ASA or AAS can be used to prove the triangles are congruent.

Front

What is the significance of the congruence statement ∆EHG≅∆KFC?

Back

It indicates that all corresponding sides and angles of the triangles are congruent.

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence.

Front

What is the relationship between the angles in congruent triangles?

Back

All corresponding angles in congruent triangles are equal.