SAS Triangle Congruence*

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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

What is the significance of vertical angles in triangle congruence?

Back

Vertical angles are always congruent, which can help establish congruence between triangles when used in conjunction with other congruent angles or sides.

Front

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

Back

To determine if two triangles are congruent using SAS, you need to show that two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is also equal.

Front

What information is needed to apply the SAS criterion?

Back

You need the lengths of two sides and the measure of the included angle between those sides.

Front

If ∠BCA = ∠DCE, what can be concluded about triangles that share these angles?

Back

If ∠BCA = ∠DCE, then the triangles that share these angles may be congruent if the corresponding sides are also congruent.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, all corresponding angles are equal.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that at least one pair of corresponding sides or angles is not equal.

Front

How can you prove that two triangles are not congruent?

Back

You can prove that two triangles are not congruent by showing that at least one pair of corresponding sides or angles is different.

Front

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

Back

The included angle is crucial in the SAS criterion because it must be between the two sides being compared for the triangles to be considered congruent.