Question

Y

P
Q
S
R
Part A
Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle PQR'S' (not shown). What are the coordinates of point R?
0 (-7,6)
O (7,6)
• (-6,7)
O (6,7)
Part B

Answer 1

The coordinates of point R are (7,6), second option

Explanation:

Coordinates of point R:

The coordinates of point R are , so (6,-7).

90° counterclockwise rule:

The rule for a rotation of 90º counterclockwise is given by:

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

What are the coordinates of point R?

(6,-7) -> (-(-7),6) = (7,6).

The coordinates of point R are (7,6), second option