Triangle Congruence Criteria Practice

Front

What are the three main triangle congruence criteria?

Back

1. Side-Side-Side (SSS) Congruence: If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. 2. Side-Angle-Side (SAS) Congruence: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. 3. Angle-Side-Angle (ASA) Congruence: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does the SSS congruence criterion state?

Back

The SSS (Side-Side-Side) congruence criterion states that if three sides of one triangle are equal in length to three sides of another triangle, then the two triangles are congruent.

Front

Explain the SAS congruence criterion.

Back

The SAS (Side-Angle-Side) congruence criterion states that if two sides of one triangle and the angle between them are equal to two sides of another triangle and the angle between those sides, then the two triangles are congruent.

Front

What is the ASA congruence criterion?

Back

The ASA (Angle-Side-Angle) congruence criterion states that if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, then the two triangles are congruent.

Front

What is the AAS congruence criterion?

Back

The AAS (Angle-Angle-Side) congruence criterion 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 significance of the Hypotenuse-Leg (HL) theorem in triangle congruence?

Back

The Hypotenuse-Leg (HL) 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

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

Back

To determine if two triangles are congruent, you can compare their corresponding sides and angles using the congruence criteria (SSS, SAS, ASA, AAS, HL). If any of these criteria are satisfied, the triangles are congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that two triangles have the same size and shape, with corresponding sides and angles being equal. Similarity means that two triangles have the same shape but not necessarily the same size, with corresponding angles being equal and corresponding sides being proportional.

Front

What role do corresponding parts play in triangle congruence?

Back

In triangle congruence, corresponding parts (sides and angles) must be equal for the triangles to be considered congruent. This is essential for applying the congruence criteria.

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal. At least one of the congruence criteria (SSS, SAS, ASA, AAS, HL) must be satisfied for the triangles to be congruent.