Question

multiple choice 1 point
which transformation of $overline{oa}$ would result in an image parallel to $overline{oa}$?
a translation of two units down
a reflection of the y - axis
a clockwise rotation of 90° about the origin
a reflection over the x - axis

Explanation:

Step1: Recall transformation properties

Translation moves a figure without changing its orientation or shape. Parallel - lines remain parallel after translation. Reflection and rotation change the orientation of a figure.

Step2: Analyze each option

• A translation of two units down moves the line segment $\overline{OA}$ downwards without changing its slope, so the image is parallel to $\overline{OA}$.
• A reflection of the $y$-axis changes the orientation of the line segment.
• A clock - wise rotation of $90^{\circ}$ about the origin changes the orientation of the line segment.
• A reflection over the $x$-axis changes the orientation of the line segment.

Answer:

A. A translation of two units down