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**Hypotenuse – Leg Congruence Theorem: HL**

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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 hypotenuse P N leg C B leg

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

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**Examples: Determine if the triangles are congruent**

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

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**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

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Unit 2 Part 4 Proving Triangles Congruent. Angle – Side – Angle Postulate If two angles and the included side of a triangle are congruent to two angles.

Unit 2 Part 4 Proving Triangles Congruent. Angle – Side – Angle Postulate If two angles and the included side of a triangle are congruent to two angles.

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