What set of transformations could be applied to rectangle ABCD to create A'B'C'D'? Reflected over the x-axis and reflected over

Question

3 years ago

11

What set of transformations could be applied to rectangle ABCD to create A'B'C'D'? Reflected over the x-axis and reflected over

the y-axis Reflected over the y-axis and rotated 180° Reflected over the x-axis and rotated 90° counterclockwise Reflected over the y-axis and rotated 90° counterclockwise

Mathematics

1 answer:

noname [10] · Answer 1 · 2021-12-26T16:16:40+03:00

Answer
Reflected over the x-axis and reflected over the y-axis.

Explanation.
When the rectangle ABCD is reflected along the x-axis, the images of ABCD will be A''(-4,-2), B''(-4,-1), C''(-1,-1) and D''(-1,-2).
When the rectangle A'', B'', C'' and D'' is reflected on the y-axis, it will exactly map on to A'B'C'D'.

So, the correct answer from the choices is "Reflected over the x-axis and reflected over the y-axis".