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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

2 Answers

4 votes

Answer:

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.

All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS-example-1
User Ankita Gahoi
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6 votes

Answer:

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

User David Riha
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7.8k points