Question

use the drop - down menus below to state the sequence of transformations that maps figure u onto figure v in the animation below. then use those transformations to determine: are the two figures congruent? use the drop - down menus to explain why or why not.
answer
a reflection over the y - axis followed by a dilation centered at the origin with a scale factor of
the two figures congruent because used to map figure u onto figure v.

Explanation:

Step1: Analyze the transformation type

First, observe the orientation change. A reflection over the \(y -\)axis changes the left - right orientation. Then, since the size of the figure changes (one figure is larger than the other), a dilation is involved.

Step2: Determine congruence

Congruent figures have the same shape and size. A dilation changes the size of a figure. If a dilation (with a scale factor not equal to \(1\)) is part of the transformation sequence, the figures cannot be congruent.

Answer:

A reflection over the \(y -\)axis followed by a dilation centered at the origin with a scale factor (not equal to \(1\)). The two figures are not congruent because a dilation (a non - congruence transformation as it changes the size) is used to map Figure \(U\) onto Figure \(V\).