Answer:
The coordinates of point Q' are: Q'(-3, 5)
Step-by-step explanation:
When a point P(x, y) is rotated 90° counterclockwise around the origin, we flip x and y and reverse the sign of y.
Thus,
The rule to rotate a point P(x, y) after a rotation 90° counterclockwise around the origin is:
P(x, y) → P'(-y, x)
In our case, rectangle PQRS is rotated 90° counterclockwise about the origin.
The rectangle has the coordinates:
We need to determine the coordinates of the point Q’.
Using the rule to rotate a point P(x, y) after a rotation 90° counterclockwise around the origin is:
P(x, y) → P'(-y, x)
Thus, coordinates of the point Q’ will be:
Q(5, 3) → Q'(-3, 5)
Therefore, the coordinates of point Q' are: Q'(-3, 5)
