A quadrilateral is plotted on the coordinate plane. Each of its vertices undergoes the same transformation. Which rule below represents a transformation that does not preserve the length of the sides of the quadrilateral?

Question

Mathematics

Mara Contreras

1 February, 17:33

A quadrilateral is plotted on the coordinate plane. Each of its vertices undergoes the same transformation. Which rule below represents a transformation that does not preserve the length of the sides of the quadrilateral?

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Blaze Atkinson · Answer 1

There are two main types of transformations:

a) Rigid Transformations

b) Non-Rigid Transformations

Rigid Transformations, as their name indicate, do not alter the size or shape. These include reflection, rotation and translation

Non-Rigid Transformations, do not preserve the size. The shape remains the same. This include Dilation.

The question asks to find a rule which do not preserve the lengths of the sides of the Quadrilateral. So one thing is for sure. The quadrilateral has undergone non-rigid transformation i. e Dilation. Dilation involves both contraction and expansion. So the rule which will either expand or contract the given quadrilateral will be the right choice to the given question.