6.4: Triangle Congruencies Refresher

Front

What is the definition of congruent triangles?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a postulate 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 does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a postulate 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 is the Angle Congruence Postulate?

Back

If two angles are congruent to the same angle, then they are congruent to each other.

Front

If ∠A ≅ ∠D, what can be inferred about triangles that include these angles?

Back

If the triangles also have the same corresponding sides, they may be congruent.

Front

What is the correct congruence statement for triangles ΔABC and ΔDEF if they are congruent?

Back

ΔABC ≅ ΔDEF.

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 corresponding sides 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 compared; it must be equal for the triangles to be congruent.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.