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The lines YZ and WZ are equivalent because the diagonal bisects the parallelogram into two parts of which are equal.

What are the properties of a parallelogram?

Properties of a parallelogram include;

  • Opposite sides are equal
  • Opposite angels are equal
  • The angles are supplementary to each other
  • The diagonals of a parallelogram bisect each other

From the figure, we have that lines YZ and WZ are equivalent because the diagonal bisects the parallelogram to two four of which they are of equal lengths.

Thus, the lines YZ and WZ are equivalent because the diagonal bisects the parallelogram into two parts of which are equal.

Learn more about a parallelogram here:

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