Geo 5.2 AAS, SAS, SSS, ASA

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 ASA stand for in 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 does AAS stand for in 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 the corresponding non-included side 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 significance of congruence statements in geometry?

Back

Congruence statements indicate that two geometric figures are identical in shape and size, allowing for the use of one figure's properties to infer properties of the other.

Front

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

Back

To determine if two triangles are congruent using the SSS criterion, measure the lengths of all three sides of both triangles and compare them. If all three pairs of corresponding sides are equal, the triangles are congruent.

Front

What information is needed to use the ASA criterion for triangle congruence?

Back

To use the ASA criterion, you need to know the measures of two angles and the length of the side between those angles in one triangle and compare them to the corresponding measures in another triangle.

Front

What is the difference between AAS and ASA in triangle congruence?

Back

The difference is that AAS requires two angles and a non-included side, while ASA requires two angles and the included side.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same shape and size, and their corresponding sides and angles are not equal.

Front

What is the role of the included angle in the SAS criterion?

Back

In the SAS criterion, the included angle is the angle formed between the two sides being compared. It is crucial for establishing congruence.