Question

quadrilateral abcd has coordinates A(-5,4),B(0,6),C(3,-1), and D(-2,-3). Use the midpoint formula to determine if the figure is a parallelogram and why.

Answer 1

Answer: Yes, the diagonals of AC and BD bisect at the midpoint

Explanation:

i got it right

Answer 2

To solve this problem you must apply the proccedure shown below:

1. You have that the 1uadrilateral abcd has coordinates A(-5,4),B(0,6),C(3,-1), and D(-2,-3).

2. Now, you must apply the formula for calculate the midpoint, which is:

M=(x2+x1/2, y2+y1/2)

3. Therefore, you have:

M1=(3+(-5)/2, -1+4/2)
M1=(-2/2, 3/2)
M1=(-1,3/2)

M2=(-2+0/2, -3+6/2)
M2=(-1, 3/2)

M1=M2

4. Then the answer is:

The figure is a parallelogram, because its diagonals bisect each other.