4-5 Hypotenuse Leg Congruence (HL)

Front

What is the Hypotenuse Leg (HL) Theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of a hypotenuse?

Back

The hypotenuse is the side of a right triangle that is opposite the right angle.

Front

What are the criteria for triangle congruence by the HL Theorem?

Back

The criteria are: 1) Both triangles must be right triangles, 2) The hypotenuses must be congruent, and 3) One pair of legs must be congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Which of the following is NOT a criterion for congruence by the HL Theorem?

Back

Two pairs of congruent legs.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What is SSA in the context of triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of congruent legs, are they congruent?

Back

No, having two pairs of congruent legs does not satisfy the HL Theorem.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of right angles in the HL Theorem?

Back

Right angles are essential because the HL Theorem applies only to right triangles.