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

Answer: 1 (Option A).

Reflecting across both the x- and y-axes sends (x,y) → (−x,−y). Applying this to the vertices:
A(2,4) → A′(−2,−4),
B(2,11) → B′(−2,−11),
C(7,11) → C′(−7,−11),
D(7,4) → D′(−7,−4).