Performance Final Congruent Triangles Review

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

List the five ways to prove triangles congruent.

Back

SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), HL (Hypotenuse-Leg for right triangles).

Front

What is the ASA congruence rule?

Back

The ASA (Angle-Side-Angle) rule states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS congruence rule?

Back

The AAS (Angle-Angle-Side) rule states 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, then the triangles are congruent.

Front

What is the SAS congruence rule?

Back

The SAS (Side-Angle-Side) rule states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the SSS congruence rule?

Back

The SSS (Side-Side-Side) rule states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the HL congruence rule?

Back

The HL (Hypotenuse-Leg) rule states 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 additional information is required for the two triangles to be congruent by ASA?

Back

You need to know two angles and the length of the side between them.

Front

How can you determine if two triangles are congruent using the SSA condition?

Back

SSA (Side-Side-Angle) does not guarantee congruence; it can lead to ambiguous cases where two different triangles can be formed.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which allows for the application of congruence rules.