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2016 AMC 10A Problem 16

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2016 AMC 10A Problem 16AMC 10 Step by Step

Name: Date: September 13, 2026

Transformations & Symmetry · difficulty 2 of 5 · about 3 min · position P16-20

A triangle with vertices $A(0, 2)$ , $B(-3, 2)$ , and $C(-3, 0)$ is reflected about the $x$ -axis, then the image $\triangle A'B'C'$ is rotated counterclockwise about the origin by $90^{\circ}$ to produce $\triangle A''B''C''$ . Which of the following transformations will return $\triangle A''B''C''$ to $\triangle ABC$ ?

A)
counterclockwise rotation about the origin by $90^{\circ}$ .
B)
clockwise rotation about the origin by $90^{\circ}$ .
C)
reflection about the $x$ -axis
D)
reflection about the line $y = x
E)
reflection about the $y$ -axis.

2016 AMC 10A Problem 16

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