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3.8 : HL Postulate. The HL Postulate. In two right triangles if the hypotenuses and a pair of corresponding legs are congruent then the triangles are congruent. (HL). Example 1. Given: , Prove: △BRU≅△BRN. B. R. U. N. Example 2. Given: ʘO , , Prove: ∠NEO≅∠TEO . N. O. E. T.
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The HL Postulate • In two right triangles if the hypotenuses and a pair of corresponding legs are congruent then the triangles are congruent. (HL)
Example 1 • Given: , • Prove: △BRU≅△BRN B R U N
Example 2 • Given: ʘO, , • Prove: ∠NEO≅∠TEO N O E T
Example 3 • Given: ʘT, • Prove: ∠TSR≅∠TAR S T R A
Assignment • p. 158 1,3,6,10,15