2004 AMC 12B Problems/Problem 9

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Problem

The point $(-3,2)$ is rotated $90^\circ$ clockwise around the origin to point $B$ . Point $B$ is then reflected over the line $x=y$ to point $C$ . What are the coordinates of $C$ ?

$\mathrm{(A)}\ (-3,-2)\qquad\mathrm{(B)}\ (-2,-3)\qquad\mathrm{(C)}\ (2,-3)\qquad\mathrm{(D)}\ (2,3)\qquad\mathrm{(E)}\ (3,2)$

Solution

The entire situation is in the picture below. The correct answer is $\boxed{\mathrm{(E)}\ (3,2)}$ .

2004 AMC 12B (Problems • Resources)
Preceded by Problem 8	Followed by Problem 10
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25

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2004 AMC 12B Problems/Problem 9

From AoPSWiki

Problem

Solution

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