5.5 SSS and HL

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 congruent to three sides of another triangle, then the triangles are congruent.

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 does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles.

Front

What is the HL Congruence Theorem?

Back

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

Front

What is a congruent triangle?

Back

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

Front

What information is needed to use the SSS Congruence Theorem?

Back

To use the SSS Congruence Theorem, you need to know the lengths of all three sides of both triangles.

Front

Can you assume right angles in triangles when using SSS?

Back

No, you cannot assume that triangles have right angles when using the SSS Congruence Theorem.

Front

What is the significance of congruent sides in triangle congruence?

Back

Congruent sides are crucial because they provide the necessary information to establish that two triangles are congruent using the SSS or HL theorems.

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.

Front

What is a common misconception about triangle congruence?

Back

A common misconception is that if two triangles have two sides equal, they must be congruent, but this is not always true without knowing the angle between them.