Triangle Congruence Flashcard

Front

What is the definition of congruent triangles?

Back

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

Front

What does the SSS (Side-Side-Side) congruence theorem state?

Back

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

Front

What does the SAS (Side-Angle-Side) congruence theorem state?

Back

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 does the ASA (Angle-Side-Angle) congruence theorem state?

Back

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 does the AAS (Angle-Angle-Side) congruence theorem state?

Back

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 does the HL (Hypotenuse-Leg) theorem apply to?

Back

It applies to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means that if triangles are proven congruent, all their corresponding sides and angles are also equal.

Front

How can you prove triangles are congruent using the SSS theorem?

Back

Measure all three sides of both triangles and show that they are equal.

Front

How can you prove triangles are congruent using the SAS theorem?

Back

Measure two sides and the included angle of both triangles and show that they are equal.

Front

How can you prove triangles are congruent using the ASA theorem?

Back

Measure two angles and the included side of both triangles and show that they are equal.