The x-axis reflection will change the sign of the y-coordinate of each vertex, while the y-axis reflection will change the sign of the x-coordinate of each vertex.
For the x-axis reflection:
A(2,4) -> A'(2,-4)
B(2,11) -> B'(2,-11)
C(7,11) -> C'(7,-11)
D(7,4) -> D'(7,-4)
For the y-axis reflection:
A'(2,-4) -> A'(−2,-4)
B'(2,-11) -> B'(−2,-11)
C'(7,-11) -> C'(−7,-11)
D'(7,-4) -> D'(−7,-4)
Therefore, the coordinates of the vertices for square A′B′C′D′ are:
A′(−2,−4) , B′(−2,−11) , C′(−7,−11) , and D′(−7,−4)
Option A is correct.
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)
1 answer