1_1/2 + 1_3/. find the sum
1 answer:
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Answer:
The quadrilateral is not a rectangle
Step-by-step explanation:
we know that
If a quadrilateral ABCD is a rectangle
then
Opposite sides are congruent and parallel and adjacent sides are perpendicular
Remember that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
The formula to calculate the slope between two points is equal to
we have
A(-5,5), B(1,8), C(4,2), and D(-2,-2)
Plot the figure to better understand the problem
see the attached figure
Find the slope of the four sides and then compare
step 1
Find slope AB
A(-5,5), B(1,8)
substitute in the formula
step 2
Find slope BC
B(1,8), C(4,2)
substitute in the formula
step 3
Find slope CD
C(4,2), and D(-2,-2)
substitute in the formula
step 4
Find slope AD
A(-5,5), D(-2,-2)
substitute in the formula
step 5
Verify if the opposites are parallel
Remember that
If two lines are parallel, then their slopes are the same
The opposite sides are
AB and CD
BC and AD
we have
so
It is not necessary to continue verifying, because two of the opposite sides are not parallel
therefore
The quadrilateral is not a rectangle
