Interactive math practice

Rotation Lab

Practice rotating ordered pairs about the origin.

Coordinate Geometry
Angles
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YOUR CHALLENGEQuestion 1

Rotate P(−3, 4) 90° clockwise about the origin (0, 0).

Coordinate plane
x and y: −5 to 5
Original point PRotated point P′ (revealed afterward)
Step 1 · Calculate

What are the new coordinates?

Enter the coordinates of P′ after the rotation.

P′ =(
,
)
Practice tip: Positive rotations are counterclockwise; negative rotations are clockwise. This exercise spells out the direction for you.
Review the rotation rules
90° clockwise(x, y) → (y, −x)
90° counterclockwise(x, y) → (−y, x)
180° (either direction)(x, y) → (−x, −y)
270° clockwise(x, y) → (−y, x)
270° counterclockwise(x, y) → (y, −x)
Each new question is randomly generated · All rotations are around (0, 0)