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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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**Postulate:. If there exists a correspondence between**

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) E T P N HL is ONLY used with RIGHT TRIANGLES. A C

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**Given: Prove: Reason Statement C A B D 1. 2. 3. 4. 5. 6. 7. 8. 9. 1.**

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**Prove: Corresponding angle bisectors of congruent triangles are congruent.**

Reason Statement 1. 2. 3. 4. 5. 6. 7. 8. 9. 1. 2. 3. 4. 5. 6. 7. 8. 9.

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**O Given: Prove: Reason Statement O E G F 1. 2. 3. 4. 5. 6. 7. 1. 2. 3.**

An altitude of a triangle forms right angles with the side to which it is drawn.

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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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Right Triangle Congruence

Right Triangle Congruence

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