1. Hypotenuse Leg Theorem Proving Right Triangles Congruent

2. 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. hypotenuse leg A CB PN M

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

4. Using the HL Theorem

5. What information is missing to say that: a.ΔTUW  ΔQOS by SAS b. ΔTUW  ΔQOS by AAS

6. Lesson Quiz: Part I Identify the postulate or theorem that proves the triangles congruent.

7. Using the HL Theorem StatementsReasons 1. 2. 3. 4. 5. 1. 2. 3. 4. 5.

8. StatementsReasons 1. 2. 3. 4. 1. 2. 3. 4.

9. Review: Solving Systems x 2y+3 x+y 12 Find the values of x and y that make the following triangles congruent.