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3.8 The HL Postulate

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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3.8 The HL Postulate

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

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

  4. 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.

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