Congruent Triangles

Front

What is the Angle-Angle-Angle (AAA) criterion for triangle congruence?

Back

AAA is not a valid criterion for proving triangles congruent because it only shows that triangles are similar, not congruent.

Front

If ∠A ≅ ∠D, what can we conclude about these angles?

Back

∠A and ∠D are equal in measure.

Front

What information is needed to prove triangles congruent using Angle-Side-Angle (ASA)?

Back

You need two angles and the included side to be congruent.

Front

What information is needed to prove triangles congruent using Side-Angle-Side (SAS)?

Back

You need two sides and the included angle to be congruent.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if all their corresponding sides and angles are equal.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

Can two triangles be congruent if only one angle is known?

Back

No, you need at least two angles or two sides and an angle to prove congruence.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal in measure.

Front

How can you prove that two triangles are congruent using the Hypotenuse-Leg (HL) theorem?

Back

If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size.