Question

Quadrilateral A B C D has vertices at A negative two comma negative one, B negative four comma negative seven, C negative nine comma negative three and D negative eight comma negative six. It is reflected across the x-axis. What are the new coordinates?

Answer 1

For all the vertices, the sign of y-coordinate changes.
For example,
A(-2,-1) will be A'(-2,1) after reflection in x-axis.
B(-4,-7) will be B'(-4,7)
C(-9,-3) will be C'(-9,3)
D(-8,-6) will be D'(-8,6)
Reflection does not change the shape or size of the figure. It just flips it over.

Answer 2

k

Answer 3

The rule for reflecting over the x-axis is (x,y) changes to (x,-y)

A(-2,1)
B(-4,7)
C(-9,3)
D(-8,6)

Answer 4

A reflexion across the x-axis means that every point that was on the x-axis will remain where it was. Every point that was a certain distance below the x-axis will go the same distance above the x-axis. Every point that was a certain distance above the x-axis will go the same distance below the x-axis. The x-coordinate of each point remains the same; the y-coordinate of each point will become its additive inverse. That means that for every point (a, b), the reflection will have coordinates (a, -b).
Examples:
Point (8, 2) becomes (8, -2)
Point (5, 0) remains (5, 0)
Point (3, -7) becomes (3, 7)

Answer 5

Thanks!

Answer 6

No prob- anytime.