Review_Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What is the criteria for triangle congruence by SSS?

Back

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; it states 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 ASA stand for in triangle congruence?

Back

Angle-Side-Angle; it states 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 is the importance of the included angle in SAS?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence.

Front

What is a congruence statement?

Back

A statement that shows two triangles are congruent, typically written in the form of ΔABC ≅ ΔDEF.

Front

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

Back

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 significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, meaning if triangles are congruent, their corresponding sides and angles are also equal.

Front

What additional information is needed for congruence by SAS?

Back

The length of the third side or the measure of the included angle.

Front

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

Back

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