Question

Select the correct answer from each drop-down menu.Complete the following proof.Given: WXYZ is a parallelogram with diagonals XZ and WY intersecting at point VProve: XZ bisects WYProof:StatementsReasons1. WXYZ is a parallelogram with

Answer 1

GIVEN:

We are given a parallelogram WXYZ with diagonals WY and XZ.

Required;

Prove that XZ bisects WY.

Explanation;

From the diagram provided, we can draw the following conclusion;

$\begin{gathered} \angle WXY\cong\angle YZW \\ \\ \angle WXZ\cong\angle YZX \\ \\ Alternate\text{ }interior\text{ }angles \end{gathered}$

Also, we have;

$\begin{gathered} \Delta WZV\cong\Delta YXV \\ \\ SAS\text{ }congruency\text{ }criteria \end{gathered}$