∠1≅∠2
Mathematics, 04.06.2020 13:12 carlo123
Use the diagram and information to answer the question.
Given:V is the midpoint of XZ
∠1≅∠2
Prove:Quadrilateral WXYZ is a parallelogram.
You can prove that KLMN is a parallelogram by showing that its diagonals bisect each other.
Which plan should you use to prove that the diagonals bisect each other?
options:
1. Use ∠1≅∠2, ∠3≅∠4, and XV¯≅ZV¯ to show △WYZ≅△XZY by the ASA Congruence Theorem. Then, use WV¯≅YV¯ and XV¯≅ZV¯ to prove WY¯ and XZ bisect each other.
2, Use ∠1≅∠2, ∠3≅∠4, and XV¯≅ZV¯ to show △WVZ≅△YVX by the AAS Congruence Theorem. Then, use WV¯≅YV¯ and XV¯≅ZV¯ to prove WY¯ and XZ¯
bisect each other.
3.Use ∠1≅∠2, ∠3≅∠4, and XV¯≅ZV¯ to show △WVZ≅△XVY by the ASA Congruence Theorem. Then, use WV¯≅YV¯ and XV¯≅ZV¯ to prove WY¯ and XZ bisect each other.
4. Use ∠1≅∠2, ∠3≅∠4, and XV¯≅ZV¯ to show △WYZ≅△XZY by the AAS Congruence Theorem. Then, use WV¯≅YV¯ and XV¯≅ZV¯ to prove WY¯ and XZ bisect each other.
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Use the diagram and information to answer the question.
Given:V is the midpoint of XZ
∠1≅∠2
∠1≅∠2
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