Question

Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A′?
A.
(7, 3)
B.
(-7, -3)
C.
(7, -3)
D.
(-7, 3)
E.
(3, 7)
int not b im on plato edmetum

Answer 1

Answer:

D (-7,3)

Step-by-step explanation:

When we reflect across the x-axis, we negate the y-axis.

This means that; $(x,y)\to(x,-y)$

If the coordinates of vertex A are (-7, 3), then after a reflection in the x-axis, we obtain:

$(-7,3)\to(-7,-3)$

For a reflection in the y-axis, we negate the x-coordinate to get;

$(-7,-3)\to(--7,-3) =(7,-3)$

Therefore the coordinate of A' are (7,-3)