A transformation that flips a shape across a line so the image is the same distance from the line as the original is called:

A transformation that flips a shape across a line so the image is the same distance from the line as the original is called:

• A. Translation
• B. Rotation
• C. Geometrical reflection
• D. Dilation

Answer: (C)

Reflection across a line is like a mirror image: every point on the shape has a counterpart on the opposite side of the line at the same distance from that line. The line acts as the mirror, so the segment joining a point to its image is perpendicular to the line and the line is the midpoint of that segment. This preserves the shape and size but flips its orientation. Among the other options, a translation moves the whole figure the same distance in a direction, without using a line of reflection. A rotation turns the figure around a point. A dilation changes the size. None of those ensure each point sits at an equal distance from a specific line like a reflection does.

Reflection across a line is like a mirror image: every point on the shape has a counterpart on the opposite side of the line at the same distance from that line. The line acts as the mirror, so the segment joining a point to its image is perpendicular to the line and the line is the midpoint of that segment. This preserves the shape and size but flips its orientation.

Among the other options, a translation moves the whole figure the same distance in a direction, without using a line of reflection. A rotation turns the figure around a point. A dilation changes the size. None of those ensure each point sits at an equal distance from a specific line like a reflection does.