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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. hypotenuse. leg. leg. P. N. hypotenuse. leg. C. B. leg. OR.
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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 P N hypotenuse leg C B leg
OR A M hypotenuse leg P N hypotenuse C B leg A M hypotenuse leg P N hypotenuse leg C B
Examples: Determine if the triangles are congruent. State the postulate or theorem.
- 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 Postulates and Theorems We Know Now: