Question

All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1 unit. Is the transformation an isometric transformation? Explain

Answer 1

No, the side lengths are not preserved.

Explanation:

A rigid transformation, or an isometry, is a transformation that preserves the size, length, shape, lines, and angle measures of a figure. In this description the sides are not preserved therefore it is not an isometric transformation.

I included my physical notes for some extra help.

Answer 2

The side lengths are not preserved

Is not an isometric transformation

Explanation:

we know that

An isometric transformation is a shape-preserving transformation in the plane. Is a transformation that preserves the distance and angles between the original figure and the transformed figure. Examples of isometric transformation are: translation, reflection, rotation.

In this problem, the side lengths of quadrilateral PQRS are different of the side lengths of quadrilateral P'Q'R'S'.

therefore

The side lengths are not preserved

Is not an isometric transformation