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3.8 The HL Postulate Objective: After studying this lesson you will be able to use the HL postulate to prove right triangles congruent.

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Presentation on theme: "3.8 The HL Postulate Objective: After studying this lesson you will be able to use the HL postulate to prove right triangles congruent."— Presentation transcript:

1 3.8 The HL Postulate Objective: After studying this lesson you will be able to use the HL postulate to prove right triangles congruent.

2 Postulate:If there exists a correspondence between the vertices of two right triangles such that the hypotenuse and a leg of one triangle are congruent to the corresponding parts of the other triangle, the two right triangles are congruent. (HL) A T C P E N HL is ONLY used with RIGHT TRIANGLES.

3 Given: Prove: Statement Reason A D B C

4 Prove: Corresponding angle bisectors of congruent triangles are congruent. Statement Reason

5 Given: Prove: Statement Reason O E F G O An altitude of a triangle forms right angles with the side to which it is drawn.

6 Summary: What type of triangle do we use the HL postulate with? Explain How many conditions are involved with proving two triangles are congruent? Homework: worksheet


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