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Rectangle PQRS is rotated 90° counterclockwise about the origin.

On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).

What are the coordinates of point Q’?

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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:

  • P(2, 3)
  • Q(5, 3)
  • R(5, 1)
  • S(2, 1)

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)

Answer:A-Q’(-3,5)

Step-by-step explanation:

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