## Tati_Lee 3 years ago 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)

1. Tati_Lee

@jim_thompson5910 can you help me

2. jim_thompson5910

First find the midpoint of segment AB

3. jim_thompson5910

Do you know how to do that?

4. Tati_Lee

yes

5. jim_thompson5910

so what is the midpoint of AB

6. Tati_Lee

(-5,6)

7. jim_thompson5910

now find the midpoint of BC

8. jim_thompson5910

and tell me what you get

9. Tati_Lee

0,4.5

10. jim_thompson5910

you should have gotten (-2,4.5)

11. jim_thompson5910

now call the midpoint of AB point M call the midpoint of BC point N

12. Tati_Lee

13. jim_thompson5910

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)

14. Tati_Lee

but thats not one of the choices

15. jim_thompson5910

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

16. jim_thompson5910

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