2019 AMC 12B Problems/Problem 3

Problem

Which of the following rigid transformations (isometries) maps the line segment $\overline{AB}$ onto the line segment $\overline{A'B'}$ so that the image of $A(-2, 1)$ is $A'(2, -1)$ and the image of $B(-1, 4)$ is $B'(1, -4)$ ?

(A) reflection in the $y$ -axis

(B) counterclockwise rotation around the origin by $90^\circ$

(C) translation by $3$ units to the right and $5$ units down

(D) reflection in the $x$ -axis

(E) clockwise rotation around the origin by $180^\circ$

Solution

2019 AMC 12B (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
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
All AMC 12 Problems and Solutions

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2019 AMC 12B Problems/Problem 3

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