Question

The coordinates of rectangle ABCD are A(-8, 6), B(-2, 6), C(-2, 3), D(-8, 3). 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, 1.5)

(5, 4.5)

(-5, -4.5)

(-5, 1.5)

Answer 1

@jim_thompson5910 can you help me

Answer 2

First find the midpoint of segment AB

Answer 3

Do you know how to do that?

Answer 4

yes

Answer 5

so what is the midpoint of AB

Answer 6

(-5,6)

Answer 7

now find the midpoint of BC

Answer 8

and tell me what you get

Answer 9

0,4.5

Answer 10

you should have gotten (-2,4.5)

Answer 11

now call the midpoint of AB point M

call the midpoint of BC point N

Answer 12

ohh i subtracted the first one instead of adding my bad

Answer 13

the diagonals will cross at the point that has the x coordinate of M and the y coordinate of N

So the diagonals will cross at (-5,4.5)

Answer 14

but thats not one of the choices

Answer 15

oh, you have to reflect it over the x axis, so the y coordinate will flip in sign and become -4.5

Answer 16

so the intersection of the diagonals is (-5,-4.5)