Pythagorean theorem notes

Presentation on theme: "Section 5.4 Hypotenuse-Leg Theorem: HL"— Presentation transcript:

1 Section 5.4 Hypotenuse-Leg Theorem: HL

2 Warm Up Name the legs of the right triangle 𝑨𝑩 and 𝑩𝑪
Name the hypotenuse of the right triangleFind the value of x𝑨𝑩 and 𝑩𝑪𝑨𝑪x = 13

3 ObjectiveSWBAT use the HL Congruence Theorem and summarize congruence postulates

4 Hypotenuse-Leg Theorem

5 Example 1: Determine When To Use HL
Is it possible to show that ∆JGH ≅ ∆HKJ using the HL Congruence Theorem?

Explain your reasoning.We are given that ∆JGH and ∆HKJ are right triangles.𝑱𝑯 ≅ 𝑱𝑯 (hypotenuse)𝑱𝑮 ≅ 𝑯𝑲 (leg)Yes you can use the HL theorem

6 You TryDetermine whether you can use the HL Congruence Theorem to show that the triangles are congruent.

Explain your reasoning.No you cannot use HL Theorem.You do not have any information about the Hypotenuse.Yes you can use HL Theorem.𝑨𝑪 ≅ 𝑫𝑭 (Hypotenuse) and 𝑨𝑩 ≅ 𝑬𝑭 (leg)

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