Lucy draws a line on a coordinate plane. Which transformation will always result in a line perpendicular to Lucy’s line?
A. dilate by a factor of 2 with the origin as the center of dilation
B. reflect over the line y = x
C. rotate 270° clockwise around the origin
D. reflect over the x -axis, and then reflect over the y -axis
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A certain mapping in the plane has the following two properties:
Point O maps to itself.
Every other point M maps to the point M', so that the counterclockwise angle from segment OM to segment OM′ measures 40 degrees and OM=OM'.
Which one of the following statements is true?
A. The properties define a translation.
B. The properties define a reflection.
C. The properties define a rotation.
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Match each transformation to the correct description of their effect on the transformation of M and M'
The point M' (3, 2) is the image of point M(-3, -2).
______ reflection in the origin
______ (x-3, y+2)
______ reflection in y = x
_______reflection in y-axis following a reflection in x-axis
_______rotation of 180° about the origin
1. Will map M onto M'
2. Would not map M onto M'