12/6 Pearson's 5-3Triangle Congruence and Proof Concepts

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 a corresponding non-included side 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 three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the first statement in the reason column of a proof?

Back

The first statement is always 'Given', which refers to the information provided in the problem.

Front

What is the purpose of triangle congruence postulates?

Back

Triangle congruence postulates are used to determine if two triangles are congruent, meaning they have the same size and shape.

Front

How can you prove two triangles are congruent using SAS?

Back

To prove two triangles are congruent using SAS, you need to show that two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle.

Front

How can you prove two triangles are congruent using ASA?

Back

To prove two triangles are congruent using ASA, you need to show that two angles and the included side of one triangle are equal to the corresponding two angles and included side of the other triangle.

Front

How can you prove two triangles are congruent using AAS?

Back

To prove two triangles are congruent using AAS, you need to show that two angles and a non-included side of one triangle are equal to the corresponding two angles and non-included side of the other triangle.

Front

How can you prove two triangles are congruent using SSS?

Back

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