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)
The square ABCD is reflected on the x-axis, which means that the y-coordinate of each vertex is negated. The square is also reflected on the y-axis, which means that the x-coordinate of each vertex is negated.
Using these reflection rules:
- For vertex A(2,4), the x-coordinate is negated to get -2 and the y-coordinate is negated to get -4. So the coordinates for vertex A' are (-2,-4).
- For vertex B(2,11), the x-coordinate is negated to get -2 and the y-coordinate is negated to get -11. So the coordinates for vertex B' are (-2,-11).
- For vertex C(7,11), the x-coordinate is negated to get -7 and the y-coordinate is negated to get -11. So the coordinates for vertex C' are (-7,-11).
- For vertex D(7,4), the x-coordinate is negated to get -7 and the y-coordinate is negated to get -4. So the coordinates for vertex D' are (-7,-4).
Therefore, the answer is Option A: Square A'B'C'D' has vertices A'(-2,-4), B'(-2,-11), C'(-7,-11), and D'(-7,-4).