Practice Triangle Congruence

Front

What is the Hypotenuse-Leg (HL) Congruence Theorem?

Back

The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What additional information is needed to prove triangles congruent by HL?

Back

You need to know that the hypotenuse and one leg of the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which means if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which means if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid method for proving triangle congruence because it can lead to ambiguous cases.

Front

What is the significance of right angles in triangle congruence?

Back

Right angles are significant because they can be used in conjunction with the HL theorem to prove the congruence of right triangles.

Front

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

Back

To prove two triangles are congruent using SAS, show that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all their corresponding parts (sides and angles) are also congruent.

Front

What additional information would prove two triangles congruent by SAS?

Back

You need to know that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.