Answer:
Multiple answers
Step-by-step explanation:
A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.
To prove that our figure is a parallelogram we first get the slope of our sides.
The formule we use to get the slope is:
m =
- first we have the W-Z side that it's supossed to be parallel to X-Y side
if we use our formule to calculate the slope of W-Z:
=
= 8
if we use our formule to calculate the slope of X-Y:
=
= 8
- We know that parallel lines will never intersect because they have the same slope, therefore W-Z side is parallel to X-Y side
2. Then we have the W-X side that it's supossed to be parallel to Z-Y side
if we use our formule to calculate the slope of W-X:
=
if we use our formule to calculate the slope of Z-Y:
=
- We know that parallel lines will never intersect because they have the same slope, therefore W-X side is parallel to Z-Y side
Then we have to prove that the parallalel sides are equal length to each other.
The formule we use to get the distance between two points is:
We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:
W-Z = =
X-Y = =
So the W-Z side have the same lenght to X-Y side.
We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:
W-X = =
Z-Y = =
So the W-X side have the same lenght to Z-Y side.