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.
Accepted Solution
A:
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.