Question

which of the following transformations represents an isometry (sometimes also referred to as a rigid transformation)? a) pre - image image b) pre - image image c) pre - image image

Explanation:

An isometry (rigid transformation) preserves distance and shape. In option a, the pre - image is a square and the image is a triangle, so shape is not preserved. In option b, the pre - image and image are triangles but the size has changed, so distance is not preserved. In option c, the pre - image and image are circles of the same size, meaning both distance and shape are preserved.

Answer:

C. The transformation in option c represents an isometry.