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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 congruent to two angles and the corresponding non-included side 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 congruent to two angles and the corresponding 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 all three sides of one triangle are congruent to all 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 congruent to two sides and the corresponding included angle of another triangle, then the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you prove triangles are congruent using AAS?

Back

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

Front

How can you prove triangles are congruent using ASA?

Back

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

Front

How can you prove triangles are congruent using SSS?

Back

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

Front

How can you prove triangles are congruent using SAS?

Back

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

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important in geometry because it allows us to establish that two triangles are identical in shape and size, which is fundamental in proving other geometric properties and theorems.