Question

The coordinates of rectangle ABCD are A(2, -7), B(8, -7), C(8, -10), D(2, -10). What are the coordinates of the point of intersection of the diagonals of the rectangle after the rectangle is reflected across the x -axis?

(-5, -8.5)

(5, 8.5)

(5, -8.5)

(-5, 8.5)

Answer 1

find the mid points of A and C
\[\left( \frac{ x1+x2 }{ 2 } ,\frac{ y1+y2 }{ 2 }\right)\] then to find the reflection across x-axis change the sign of y coordinate.

Answer 2

so i would do 2+8/ 2 -7+-10/2 = (5,-8.5)
right ? or do i still change the sign ?

Answer 3

@surjithayer

Answer 4

to find the reflection you have to change the sign.