Triangle Congruence Theorems

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that 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 theorem stating 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

ASA stands for Angle-Side-Angle, a theorem stating 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 does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating 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, 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 all corresponding sides and angles are equal.

Front

Can two triangles be congruent if they have different side lengths?

Back

No, two triangles cannot be congruent if they have different side lengths.

Front

If two triangles have two pairs of equal angles, what can be concluded about them?

Back

If two triangles have two pairs of equal angles, they are congruent by the AAS theorem.

Front

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

Back

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

Front

How can you prove that two triangles are not congruent?

Back

You can prove that two triangles are not congruent by showing that at least one pair of corresponding sides or angles is not equal.

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, all corresponding angles are equal.