Answer:
1. The lenghts of the sides are not given. If you assume that the opposite sides have equal lenght, then the figure is a parallelogram because there are two pairs of congruent sides.
2. The figure is a parallelogram because a diagonal is bisected.
Step-by-step explanation:
The missing figure is attached.
For this exercise you must remember that:
1. A Quadrilateral is defined as a two-dimensinal closed figure that have for straight sides.
2. Parallelograms are Quadrilaterals.
3. Parallelograms have the following properties:
- Opposite sides are parallel
.
- Opposite sides have equal lenght
.
- Opposite angles are congruent.
- Consecutive angles are supplementary (which means that they add up to 180 degrees).
- The diagonals of a parallelogram bisect each other (which means that they are cut into two equal parts) and divide it into two congruent triangles.
Then, in this case you can observe that the opposite sides of the Quadrilateral [tex]WXYZ[/tex] are parallel.
And you know that:
[tex]XN[/tex] is congruent to [tex]NZ[/tex]
[tex]NY[/tex] is congruent to [tex]NW[/tex]
Therefore, the diagonals bisect each other.
The length of the sides are not given. However, if you assume that opposite sides have equal lenght, then you can conclude that their opposite sides are congruent.
Therefore, it is a parallelogram.
