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