Congruent Triangles

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 does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides 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

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 is crucial for establishing congruence using the SAS postulate.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

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

Front

What is the purpose of sketching a triangle when solving for unknown sides?

Back

Sketching a triangle helps visualize the problem, making it easier to apply congruence postulates and find unknown side lengths.

Front

If two triangles are congruent, what can be said about their areas?

Back

If two triangles are congruent, their areas are equal.

Front

What is the difference between the SAS and SSS postulates?

Back

The SAS postulate requires two sides and the included angle to be equal, while the SSS postulate requires all three sides to be equal.

Front

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

Back

The ASA postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) theorem?

Back

The AAS theorem states 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, then the triangles are congruent.