The vertices of a square are A(–2, 4), B(4, 4), C(4, –2), and D(–2, –2). The diagonals of the square intersect at their midpoints.

What are the coordinates of the midpoint where the diagonals intersect?

(2, 2)

(–3, 3)

(–1, 4)

(1, 1)

Question

The vertices of a square are A(–2, 4), B(4, 4), C(4, –2), and D(–2, –2). The diagonals of the square intersect at their midpoints. 

What are the coordinates of the midpoint where the diagonals intersect?


		
(2, 2)
		
(–3, 3)

		
(–1, 4)

		
(1, 1)

campbell_st · Answer

well start by plotting the points so you can see the pairs that form the diagonals... 

|dw:1448741471799:dw|

so looking at the diagram, find the midpoint of the diagonal AC