Question

Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x axis?

Answer 1

A

Step-by-step explanation:

Transformation rule : The coordinates change by the rule when the figure rotate 90 degrees about the origin is given by

`(x,y)(-y,x)`

Transformation rule: When the figure reflected across x- axis then the coordinates change by the rule

`(x,y)(x,-y)`

The given figure cut x - axis at x=3

The coordinates (3,0).

After 90 degrees rotation about origin the coordinates becomes (0,3).

After reflection across x- axis , the coordinates becomes (0,-3).

Only in first figure, there is (0,-3) .

Hence, the option A is true.