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)
.(1 point)
Incorrect

To reflect square ABCD with respect to both the x and y-axis, the x and y coordinates of each ordered pair change to their opposite.
Remaining Attempts : 2
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Answer 1

The correct choice is 1 (Option A).

Reflecting across both axes sends (x,y) → (−x,−y). So
A' = (−2,−4), B' = (−2,−11), C' = (−7,−11), D' = (−7,−4).

(Option B only reflects across the x-axis, changing y but not x.)