Hypotenuse – Leg Congruence Theorem: HL

Hypotenuse-Leg Theorem (HL)

 If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of a second triangle, then the two triangles are congruent.

A M P leg N C leg B

A C leg B A M N

OR

P P leg M N C B

Examples: Determine if the triangles are congruent. State the postulate or theorem.

Postulates and Theorems We Know Now:

 SSS  - three sides  SAS  - two sides & the included angle  ASA  - two angles and the included side  AAS  - two angles and the non-included side  HL  - hypotenuse and leg of a right triangle