Triangle Review

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is the HL theorem in triangle congruence?

Back

The HL theorem stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, stating that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

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 ASA criterion.

Front

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

Back

If two triangles have three pairs of equal sides, they are congruent by the SSS criterion.

Front

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

Back

In the SAS criterion, the included angle is the angle formed between the two sides being compared, and it must be equal for the triangles to be congruent.

Front

Can two triangles be congruent if only one pair of sides is equal?

Back

No, two triangles cannot be congruent if only one pair of sides is equal; at least two sides and the included angle or other criteria must be satisfied.