In these lessons, we will learn
Related Topics: More Geometry Lessons
Hypotenuse Leg Theorem is used to prove whether a given set of right triangles are congruent.
The Hypotenuse Leg (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 two right triangles are congruent.
In the following right triangles ΔABC and ΔPQR , if AB = PR, AC = QR then ΔABC ≡ ΔRPQ .
State whether the following pair of triangles are congruent. If so, state the triangle congruence and the postulate that is used.
From the diagram, we can see that
Hypotenuse - Leg Congruence Theorem Explains why HL is enough to prove two right triangles are congruent using the Pythagorean Theorem
The following video shows more examples of the Hypotenuse Leg (HL) Theorem and the Angle-Angle-Side (AAS) Theorem
HL Postulate (Lesson)
A lesson and proof of the HL (Hypotenuse-Leg) postulate using a two-column proof
Practice problems and proofs using the HL (Hypotenuse-Leg) Postulate