SSS and SAS Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence 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 criterion for triangle congruence 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 is the ASA criterion for triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence 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 is the AAS criterion for triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence stating that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the HL criterion for triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable 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

What is the significance of a right angle in triangle congruence?

Back

A right angle (90°) is significant because it can help establish congruence using the SAS or HL criteria, as it provides a known angle measurement.

Front

If AD bisects CB and ∠ADB = 90°, which triangle congruence criterion can be used?

Back

SAS can be used because we have two sides and the included angle.

Front

What is the relationship between congruent triangles?

Back

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

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the difference between SAS and SSA?

Back

SAS requires two sides and the included angle to be equal, while SSA only requires two sides and a non-included angle, which does not guarantee congruence.