Question

Square ABCD has these coordinates =
A- (3, -4)
B- (7, -4)
C- (3, -8)
D- (7, -8)
Reflect square ABCD with respect to the x -axis and the y -axis. What are the vertices of square A′B′C′D′ ?

Answer 1

Reflecting square ABCD with respect to the x-axis means that the y-coordinates of each point will get multiplied by -1.

So, the vertices of the reflected square A'B'C'D' are:
A' = (3, 4)
B' = (7, 4)
C' = (3, 8)
D' = (7, 8)

Reflecting square ABCD with respect to the y-axis means that the x-coordinates of each point will get multiplied by -1.

So, the vertices of the reflected square A''B''C''D'' are:
A'' = (-3, 4)
B'' = (-7, 4)
C'' = (-3, 8)
D'' = (-7, 8)