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# Hypotenuse leg congruence theorem - hl

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### Hypotenuse leg congruence theorem - hl

1. 1. Do Now: • Does the diagram given enough information to show that the triangles are congruent? If so, state the postulate or theorem you would use 1. 2. 3. 4. A B D C R S T XY Z M L N K JI E B A D F C
2. 2. 5.4 Hypotenuse-Leg Congruence Theorem: HL • Hypotenuse-Leg Congruence Theorem (HL) – If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and the leg of a second right triangle, then the two triangles are congruent. – If ABC and DEF are right triangles, and AC = DF, and BC = EF, then ABC = DEF ~ ~ ~ A B C D E F
3. 3. Determine When to Use HL • Is it possible to show that the two triangles are congruent using the HL Congruence Theorem? Explain your reasoning. • The two triangles are right triangles. You know that JH = JH (Hypotenuse). You know that JG = HK (Leg). So, you can use the HL Congruence theorem to prove that JGH = HKJ. G H J K ~ ~ ~
4. 4. Triangle Congruence Postulates and Theorems 1. SSS (Side-Side-Side) 2. SAS (Side-Angle-Side) 3. ASA (Angle-Side-Angle) 4. AAS (Angle-Angle-Side) 5. HL (Hypotenuse-Leg)
5. 5. More Practice!!!! • http://www.mathwarehouse.com/geometry/con
6. 6. More Practice!!!! • http://www.mathwarehouse.com/geometry/con
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