contestada

what set of transformations could be applied to rectangle ABCD to create A’B’C’D’?

A)Reflected over the x-axis and rotated 180 degrees

B)Reflected over the y-axis and rotated 180 degrees

C)Reflected over the x-axis and rotated 90 degrees counterclockwise

D)Reflected over the y-axis and rotated 90 degrees counterclockwise

what set of transformations could be applied to rectangle ABCD to create ABCD AReflected over the xaxis and rotated 180 degrees BReflected over the yaxis and ro class=

Respuesta :

C would be the best answer 

Answer:

C)Reflected over the x-axis and rotated 90 degrees counterclockwise

Step-by-step explanation:

Reflection over the x-axis move point C from (-1, 1) to (-1, -1), point D from (-1, 2) to (-1, -2), point A from (-4, 2) to (-4, -2) and point B from (-4, 1) to (-4, -1). As can be seen, y-coordinate changes sign, so that, the distance between the original point and its reflection respect x-axis remains the same.

Rotation 90 degrees counterclockwise around origin means that x-coordinate and y-coordinate switches and x-coordinate is multiplied by -1. So, point (-1, -1) transforms into (1, -1) - point C' -, (-1, -2) transforms into (2, -1) - point D' -, point (-4, -2) transforms into (2, -4) - point A' - and point (-4, -1) transforms into (1, -4) - point B'.