Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a rule that states 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

SAS stands for 'Side-Angle-Side', a rule that states 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

ASA stands for 'Angle-Side-Angle', a rule that states 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 does AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side', a rule that states if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the significance of the included angle in SAS?

Back

In the SAS rule, the included angle is the angle formed between the two sides being compared. It is crucial for establishing congruence.

Front

Can two triangles be congruent if only two sides are equal?

Back

No, two triangles cannot be determined to be congruent with only two sides equal unless the included angle is also known (SAS) or the third side is also equal (SSS).

Front

What is the difference between congruent triangles and similar triangles?

Back

Congruent triangles have the same size and shape (equal sides and angles), while similar triangles have the same shape but not necessarily the same size (proportional sides and equal angles).

Front

If ∆ABC ≅ ∆DEF, what can be inferred about their corresponding parts?

Back

If ∆ABC ≅ ∆DEF, then corresponding sides and angles are equal: AB = DE, BC = EF, AC = DF and ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Front

What is the criteria for triangle congruence using the SSS rule?

Back

The criteria for triangle congruence using the SSS rule is that all three sides of one triangle must be equal to all three sides of another triangle.