Question

Square ABCD
has vertices A(2,4)
, B(2,11)
, C(7,11)
, and D(7,4)
. The square ABCD
is reflected on the x-axis and the y-axis. Find the coordinates of the vertices for square A′B′C′D′
. Choose 1 for Option A and 2 for Option B.

Option A: Square A′B′C′D′
has vertices A′(−2,−4)
, B′(−2,−11)
, C′(−7,−11)
, and D′(−7,−4)
.
Option B: Square A′B′C′D′
has vertices A′(2,−4)
, B′(2,−11)
, C′(7,−11)
, and D′(7,−4)

Answer 1

1

Reflecting across the x-axis and the y-axis sends (x,y) → (-x,-y). Applying that to each vertex gives A′(−2,−4), B′(−2,−11), C′(−7,−11), D′(−7,−4), which is Option A.