Question

which describes an isometric transformation?

dilation
rotation
side length change
angle change

Explanation:

Define isometric transformation

An isometric transformation (or isometry) is a transformation that preserves distances, meaning the size and shape of the geometric figure remain unchanged.

Evaluate the given options

• dilation: Changes the size of the figure (not isometric).
• rotation: Rotates the figure about a point, preserving all distances and angles (isometric).
• side length change: Directly alters distances (not isometric).
• angle change: Alters the shape of the figure (not isometric).

Identify the correct option

The only transformation listed that preserves distance (isometry) is rotation.

Answer:

• dilation
• rotation (Correct answer)
• side length change
• angle change