Module 5: Congruent Triangles - Hilyard

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does the SAS Congruence Theorem state?

Back

The SAS (Side-Angle-Side) Congruence Theorem 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 two triangles are congruent.

Front

What does the SSS Congruence Theorem state?

Back

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

Front

What does the AAS Congruence Theorem state?

Back

The AAS (Angle-Angle-Side) Congruence Theorem 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 two triangles are congruent.

Front

What is the HL Congruence Theorem?

Back

The HL (Hypotenuse-Leg) Congruence Theorem 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 two triangles are congruent.

Front

When can we use the HL Congruence Theorem?

Back

The HL Congruence Theorem can be used only for right triangles.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which allows us to use this property to prove triangle congruence.

Front

What additional information is needed to prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, the lengths of all three sides of both triangles must be known.

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

How can you determine if two triangles are congruent using the SAS theorem?

Back

To determine if two triangles are congruent using the SAS theorem, check if two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle.