Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain

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itisforscience itisforscience · Answer 1 · 2021-02-17T08:58:26+01:00

The properties of a parallelogram:

1. opposite sides are parallel

2. opposite sides are equal in length

3. opposite angles are equal

4. diagonals bisect each other

if XN=NZ and NY=NW, then

XY=WZ and XW=YZ because the corresponding angles are equal = corresponding sides are equal

The opposite sides are parallel as well because the diagonals are equal (the vertical opposite angles are equal)

This was a word pasta but hope this helps

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abidemiokin abidemiokin · Answer 2 · 2022-02-08T13:10:47+01:00

The opposite sides are parallel because the diagonals are equal.

From the given parallelogram, you can see that the diagonals bisect each other.

Also if XN=NZ and NY=NW, then XY=WZ and XW=YZ show that the corresponding angles are equal

Also from the diagram, the opposite sides are parallel because the diagonals are equal (the vertical opposite angles are equal).

Learn more on properties of parallelogram here: https://brainly.com/question/3100335