SSS and HL Practice

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles when the hypotenuse and one leg are equal.

Front

What is the SSS congruence theorem?

Back

The SSS congruence theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the HL congruence theorem?

Back

The HL 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 triangles are congruent.

Front

Can two triangles be congruent if only two sides are known?

Back

Not necessarily; additional information is needed to determine congruence unless the triangles are right triangles and the third side can be inferred.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the importance of triangle congruence theorems?

Back

Triangle congruence theorems are important because they provide criteria to determine if two triangles are congruent, which is essential in solving geometric problems.

Front

What information is needed to apply the SSS theorem?

Back

To apply the SSS theorem, the lengths of all three sides of both triangles must be known.

Front

What information is needed to apply the HL theorem?

Back

To apply the HL theorem, the lengths of the hypotenuse and one leg of both right triangles must be known.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that at least one pair of corresponding sides or angles is not equal.