MathDB
AMC 12B #3

Source: 2019 AMC 12B #3

February 14, 2019
AMCAMC 12AMC 12 Bgeometrygeometric transformationrotation

Problem Statement

Which one of the following rigid transformations (isometries) maps the line segment AB\overline{AB} onto the line segment AB\overline{A'B'} so that the image of A(2,1)A(-2,1) is A(2,1)A'(2,-1) and the image of B(1,4)B(-1,4) is B(1,4)?B'(1,-4)?
<spanclass=latexbold>(A)</span><span class='latex-bold'>(A) </span> reflection in the yy-axis <spanclass=latexbold>(B)</span><span class='latex-bold'>(B) </span> counterclockwise rotation around the origin by 9090^{\circ} <spanclass=latexbold>(C)</span><span class='latex-bold'>(C) </span> translation by 3 units to the right and 5 units down <spanclass=latexbold>(D)</span><span class='latex-bold'>(D) </span> reflection in the xx-axis <spanclass=latexbold>(E)</span><span class='latex-bold'>(E) </span> clockwise rotation about the origin by 180180^{\circ}