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 the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the AAA criterion?

Back

AAA stands for Angle-Angle-Angle, which states that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Front

How can you determine if two triangles are congruent using the SSS rule?

Back

To determine if two triangles are congruent using the SSS rule, 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 rule?

Back

In the SAS rule, the included angle is the angle formed between the two sides being compared. It is crucial because it ensures that the triangles are congruent based on the specific arrangement of sides and angles.

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 rule). Otherwise, they may be different shapes.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.