Question

Quadrilateral PQRS is transformed by translating it 6 units to the right and then rotating it 90° clockwise
about the origin. Which coordinate pairs represent vertices of P'Q'R'S' after these two transformations?

Answer 1

Answer:

(y, -x -6)

Step-by-step explanation:

The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)

The first transformation: 6 units right

$(x,y) -> (x + b, y)$

Where b = 6

So, the new coordinates will be

$(x + 6, y)$

The second transformation: 90° clockwise

$(x,y) -> (y,-x)$

So, the new coordinates will be

$(x + 6, y)-> (y, -x -6)$

Hence, the new coordinates of PQRS is (y, -x - 6)