Presentation on theme: "3.8 The HL Postulate Objective:"— 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 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)ETPNHL is ONLY used with RIGHT TRIANGLES.AC
3 Given: Prove: Reason Statement C A B D 1. 2. 3. 4. 5. 6. 7. 8. 9. 1.
4 Prove: Corresponding angle bisectors of congruent triangles are congruent. ReasonStatement22.214.171.124.126.96.36.199.188.8.131.52.184.108.40.206.8.9.
5 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.
6 Summary:What type of triangle do we use the HL postulate with? ExplainHow many conditions are involved with proving two triangles are congruent?Homework: worksheet