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'