Geo 5.2 AAS, SAS, SSS, ASA

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 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 have the same size and shape, meaning their corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent using the AAS postulate?

Back

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

Front

How can you determine if two triangles are congruent using the ASA postulate?

Back

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

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

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

Front

How can you determine if two triangles are congruent using the SAS postulate?

Back

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

Front

What is the significance of the included angle in the ASA and SAS postulates?

Back

The included angle is the angle formed between the two sides being considered. It is crucial for the ASA and SAS postulates because it helps establish the congruence of the triangles.