Congruent Triangles SSS and SAS

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 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 is the definition of congruent triangles?

Back

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

Front

If two triangles have two pairs of equal sides and the included angle is also equal, what postulate can be used to prove they are congruent?

Back

SAS (Side-Angle-Side) postulate.

Front

If all three sides of one triangle are equal to all three sides of another triangle, what postulate can be used to prove they are congruent?

Back

SSS (Side-Side-Side) postulate.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.

Front

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

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.

Front

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

Back

Measure two sides and the included angle of both triangles; if both pairs are equal, the triangles are congruent.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is the angle formed between the two sides being measured; it must be equal for the triangles to be congruent.