AMC12 2004 B

AMC12 2004 B · Q9

AMC12 2004 B · Q9. It mainly tests Transformations.

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 $C$?

点 $(-3,2)$ 绕原点顺时针旋转 $90^\circ$ 到点 $B$。然后将点 $B$ 关于直线 $x=y$ 反射到点 $C$。求 $C$ 的坐标。

(A) (-3, -2) (-3, -2)

(B) (-2, -3) (-2, -3)

(D) (2, 3) (2, 3)

(E) (3, 2) (3, 2)

Answer

Correct choice: (E)

正确答案：（E）

Solution

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

整个过程如图所示。正确答案是 $\boxed{\mathrm{(E)}\ (3,2)}$。

Topics

GE.011 Transformations