Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangles are congruent by showing two angles and a non-included side are equal.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangles are congruent by showing two angles and the included side are equal.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangles are congruent by showing two sides and the included angle are equal.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a method to prove right triangles are congruent by showing the hypotenuse and one leg are equal.

Front

Can two triangles be congruent if they have the same angles but different side lengths?

Back

No, triangles with the same angles must also have the same side lengths to be congruent.

Front

What additional information is needed to prove triangles are congruent by AAS?

Back

You need to know two angles and a non-included side of one triangle are equal to the corresponding parts of the other triangle.

Front

What additional information is needed to prove triangles are congruent by ASA?

Back

You need to know two angles and the included side of one triangle are equal to the corresponding parts of the other triangle.

Front

What additional information is needed to prove triangles are congruent by HL?

Back

You need to know the lengths of the hypotenuse and one leg of a right triangle are equal to the corresponding parts of another right triangle.

Front

What is the difference between SSA and other congruence criteria?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases.