Congruent Triangles

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, 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 equal to two sides and the included angle 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 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, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states 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, 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 equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

Which method does NOT prove triangles are congruent?

Back

SSA (Side-Side-Angle) does not prove triangles are congruent because it can lead to ambiguous cases.

Front

Can AAA prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) does not prove triangle congruence because it only shows that triangles are similar, not necessarily congruent.

Front

If two triangles have two sides equal and the included angle equal, what postulate can be used?

Back

SAS (Side-Angle-Side) can be used to prove the triangles are congruent.

Front

If two triangles have two angles equal and a non-included side equal, what postulate can be used?

Back

AAS (Angle-Angle-Side) can be used to prove the triangles are congruent.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they have the same size and shape, allowing for the application of various geometric principles and theorems.