Prove the congruence \overline{XW}\cong \overline{ZW}..

Tammy Todd

Tammy Todd

Answered question

2021-07-12

To prove:
XW=ZW.
Given information:
XYZ is equilateral.
WY bisects Y.

Answer & Explanation

svartmaleJ

svartmaleJ

Skilled2021-07-13Added 92 answers

Proof:
We know that WY bisects Y, so XYW=ZYW. Also, YW=YW by the Reflexive Property. Since XYZ is equilateral it is a special type of isosceles triangle, so XY=ZY. By the Side-Angle-Side Congruence Postulate, XYW=ZYW By CPCTC XW=ZW.

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