Question

Parallelogram CDEF has vertices C(-4,-4), D(-2, 0), E(6, 2) and F(4, -2). Which ordered pair represents the intersection of the diagonals?

A) (2, -1)

B) (4, -2)

C) (1, 1)

D) (0, 0)

Answer 1

The ordered pair (1, -1) represents the intersection of the diagonals.

Step-by-step explanation:

To find the intersection of the diagonals of parallelogram CDEF, we need to find the midpoint of the line segment connecting points C and E, and the midpoint of the line segment connecting points D and F.

The midpoint of the line segment connecting points C(-4,-4) and E(6,2) is: [(x1 + x2)/2, (y1 + y2)/2] = [(6-4)/2, (2-4)/2] = [1, -1].

The midpoint of the line segment connecting points D(-2,0) and F(4,-2) is: [(x1 + x2)/2, (y1 + y2)/2] = [(4-2)/2, (-2+0)/2] = [1, -1].

Therefore, the ordered pair (1, -1) represents the intersection of the diagonals.