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MATH / The point (−3,2) is rotated 90^(∘) clockwise around the origin to point B. Point B is then reflected in the line y=x to point C. What are the coordinates of C?

Problem

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problem

The point (−3,2)(-3,2) is rotated 90∘90^{\circ} clockwise around the origin to point BB. Point BB is then reflected in the line y=xy=x to point CC. What are the coordinates of CC?
Plain-text mathematical notation (without MathML)
The point  (−3,2) is rotated 90^(∘) clockwise around the origin to point B.  Point B is then reflected in the line y=x to point C. What are the coordinates of C?
Original LaTeX notation
The point  $(-3,2)$ is rotated $90^{\circ}$ clockwise around the origin to point $B$.  Point $B$ is then reflected in the line $y=x$ to point $C$. What are the coordinates of $C$?

level

Level 4

type

Geometry

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Source and history

task_id
bb2afd3a-8bb0-5a79-848e-bea4f70d282a
task_key
geometry--test--bb2afd3a-8bb0-5a79-848e-bea4f70d282a
task_revision_id
1
config / split
geometry / test

Official source

initial import