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:
3.8 The HL Postulate Objective: After studying this lesson you will be able to use the HL postulate to prove right triangles congruent.
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.
Given: Prove: Statement Reason A D B C
Prove: Corresponding angle bisectors of congruent triangles are congruent. Statement Reason
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.
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