Answer:
True
Step-by-step explanation:
we know that
The opposite sides of a parallelogram are parallel and the length of their sides is equal.
step 1
<em>Find the slope of each side</em>
we know that
If two lines are parallel then their slopes are the same
The formula to calculate the slope between two points is equal to
we have
<em>one side</em>
Substitute the values
<em>opposite side</em>
Substitute the values
compare
m1=m2
therefore
both lines are parallel
step 2
Find the distance
the formula to calculate the distance between two points is equal to
we have
<em>one side</em>
Substitute the values
<em>opposite side</em>
Substitute the values
Compare
d1=d2
Both sides have the same length
so
1) Both lines are parallel
2) Both sides have the same length
therefore
The statement is True