The mid-point of the segment AC and BD are the same. Then the segments intersect at the mid-point. Then the correct option is A.
What is a parallelogram?
It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
You can prove that quadrilateral ABCD is a parallelogram by showing AC bisects BD.
The mid-point of AC will be
⇒ [(3 - 5) / 2, (- 4 - 5) / 2]
⇒ (-1, -4.5)
The mid-point of BD will be
⇒ [(6 - 8) / 2, (- 7 - 2) / 2]
⇒ (-1, -4.5)
The mid-point of the segment AC and BD are the same. Then the segments intersect at the mid-point.
Then the correct option is A.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
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