Question

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

Answer 1

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

Answer 2

Answer:

Yes

Step-by-step explanation:

This is a paralleogram. The diagonals bisect each other