# SOLUTION: Given: WX&#8773;WZ; XW&#8869;XY; WZ&#8869;ZY Prove: WY bisects &#8736;XYZ Statement: 1. XW&#8869;XY; WZ&#8869;ZY (given) 2. &#8736;YXW and &#8736;WZY are right angles

Algebra ->  Algebra  -> Geometry-proofs -> SOLUTION: Given: WX&#8773;WZ; XW&#8869;XY; WZ&#8869;ZY Prove: WY bisects &#8736;XYZ Statement: 1. XW&#8869;XY; WZ&#8869;ZY (given) 2. &#8736;YXW and &#8736;WZY are right angles       Log On

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 Geometry: Proofs in Geometry Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Geometry proofs Question 388115: Given: WX≅WZ; XW⊥XY; WZ⊥ZY Prove: WY bisects ∠XYZ Statement: 1. XW⊥XY; WZ⊥ZY (given) 2. ∠YXW and ∠WZY are right angles 3. WX≅WZ (given) 4. YW≅YW 5. ΔXYW≅ΔZYW (HL theorem) 6. ∠1≅∠2 7. m∠1=m∠2 (definition of congruent angles) 8. WY bisects ∠XYZ Choose the correct reason for statement 6? Answer by jerryguo41(162)   (Show Source): You can put this solution on YOUR website!CPCTC or Corresponding Parts of Congruent Triangles are Congruent