Proving Triangles Congruent

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for proving triangles congruent.

Front

What is the HL theorem in triangle congruence?

Back

The 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 triangles are congruent.

Front

What is the definition of congruent triangles?

Back

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

Front

What information is needed to prove triangles congruent using the ASA criterion?

Back

To use the ASA criterion, you need two angles and the included side of one triangle to be equal to the corresponding two angles and included side of another triangle.

Front

Can triangles be proven congruent if only one angle and two sides are known?

Back

No, you cannot prove triangles congruent with only one angle and two sides; you need to know the relationship between the angles and sides.

Front

What is the SSS criterion for triangle congruence?

Back

SSS stands for Side-Side-Side, which states that if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Front

What is the SAS criterion for triangle congruence?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent.

Front

What does it mean if two triangles cannot be proven congruent?

Back

It means that there is insufficient information or that the criteria for congruence (ASA, SSS, SAS, or HL) are not met.

Front

What is the importance of the included angle in the ASA criterion?

Back

The included angle is crucial because it is the angle formed between the two sides being considered for congruence.

Front

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

Back

The SAA criterion states that if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent.