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 hypotenuse leg leg hypotenuse P N leg C B leg

OR A M hypotenuse leg hypotenuse P N C B leg A M hypotenuse leg

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

Postulates and Theorems We Know Now: - three sides - two sides & the included angle - two angles and the included side - two angles and the non-included side - hypotenuse and leg of a right triangle SSS SAS ASA AAS HL