Reflection in geometry refers to which of the following?

Reflection in geometry refers to which of the following?

• A. Turning about a fixed point
• B. Moving a figure along a line without flipping
• C. Scaling a figure up or down
• D. Flipping a figure over a line such as the x-axis or y-axis

Answer: (D)

Reflection is flipping a figure across a line to create a mirror image. In a reflection, the size and shape stay the same and distances and angles are preserved, but the orientation is reversed. The line you reflect across is the perpendicular bisector of every segment joining a point to its image, and points on that line remain fixed. For example, reflecting across the x-axis negates the y-coordinate while keeping the x-coordinate the same; reflecting across the y-axis negates the x-coordinate while keeping the y-coordinate the same. This is different from rotating a figure, translating it without flipping, or scaling it up or down.

Reflection is flipping a figure across a line to create a mirror image. In a reflection, the size and shape stay the same and distances and angles are preserved, but the orientation is reversed. The line you reflect across is the perpendicular bisector of every segment joining a point to its image, and points on that line remain fixed. For example, reflecting across the x-axis negates the y-coordinate while keeping the x-coordinate the same; reflecting across the y-axis negates the x-coordinate while keeping the y-coordinate the same. This is different from rotating a figure, translating it without flipping, or scaling it up or down.