Answer: D) reflection across the x-axis
Step-by-step explanation:
Given : The coordinates of a quadrilateral are (1, 2), (4, 2), (1, 4), and (4, 4). After a transformation, the new coordinates are (1, −2), (4, −2), (1, −4), and (4, −4).
Here, the sign of the y-coordinates are changed in the image . [Rest other things remained same.]
Since , it happens in reflection across the x-axis by using rule :
[tex](x,y)\to (x,-y)[/tex]
It means the quadrilateral reflected across the x-axis.
Hence, the transformation occurred : reflection across the x-axis
