The coordinates of rectangle ABCD are A(-3, 6), B(-8, 6), C(-8, 2), D(-3, 2). What are the coordinates of the point of intersection of the diagonals of the rectangle after the rectangle is reflected across the y-axis?
Answer
(-5.5, -4)
(5.5, 4)
(2.5, 4)
(-5.5, -2)

Question

The coordinates of rectangle ABCD are A(-3, 6), B(-8, 6), C(-8, 2), D(-3, 2). What are the coordinates of the point of intersection of the diagonals of the rectangle after the rectangle is reflected across the y-axis?
Answer
		(-5.5, -4)
		(5.5, 4)
		(2.5, 4)
		(-5.5, -2)

compassionate · Answer

diagonals intersect at their midpoint, ( (-8+ -2)/2, (6+3)/2) which is (-5, 4½) ...

callisto · Answer

It might be wrong....
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The point of intersection of the rectangle should be the ''centre'' of the rectangle..
so, the x-coordinate should share the same x-coordinate with the mid-point of AB
the y-coordinate should share the same y-coordinate with the mid-point of BC

x-coordinate of the intersection point = [(-3)+{-8)]/2 = -5.5
y-coordinate of the intersection point = (6+2)/2 = 4

Since the rectangle is reflection along y-axis, the x-coordinate will become positive

So, the point is (5.5, 4)