5.1: SSS & SAS Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side' congruence, which states that 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' congruence, which states that 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

What is the criteria for triangle congruence using SSS?

Back

For SSS congruence, if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the criteria for triangle congruence using SAS?

Back

For SAS congruence, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What does SSA stand for and why is it not a congruence criterion?

Back

SSA stands for 'Side-Side-Angle'. It is not a congruence criterion because it does not guarantee that two triangles are congruent; it can lead to ambiguous cases.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

If triangle ABC is congruent to triangle DEF, then their corresponding sides and angles are equal: AB = DE, BC = EF, AC = DF and ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Front

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

Back

The included angle in SAS congruence is the angle formed between the two sides being compared. It is crucial because it ensures that the triangles are congruent.

Front

How can you prove that two triangles are congruent using SSS?

Back

To prove two triangles are congruent using SSS, measure all three sides of both triangles and show that they are equal.

Front

What is a false congruence statement?

Back

A false congruence statement is one that incorrectly claims two triangles are congruent based on incorrect or insufficient information.