Question

select the correct answer. which statement describes a reflection? a. a reflection moves points a specified distance along a line perpendicular to a specified line. b. a reflection occurs when an object moves in a circular arc around a point. c. a reflection moves points a specified distance along a line parallel to a specified line. d. a reflection occurs when a point and its image are equidistant from a line on the opposite sides of the line and the line segment joining the two points is perpendicular to the line.

Explanation:

To determine the correct statement about reflection:

• Option A: Reflection is not a translation (moving a distance along a line), so A is incorrect.
• Option B: Moving in a circular arc is a rotation, not a reflection, so B is incorrect.
• Option C: Moving along a line parallel is a translation, not reflection, so C is incorrect.
• Option D: By the definition of reflection, a point and its image are equidistant from the line of reflection, and the line segment joining them is perpendicular to the line of reflection. This matches the properties of a reflection.

Answer:

D. A reflection occurs when a point and its image are equidistant from a line on the opposite sides of the line and the line segment joining the two points is perpendicular to the line.