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Given the following figures, determine if each transformation preserves angle measure. Segment length or both.

Given the following figures, determine if each transformation preserves angle measure-example-1
User Dario Griffo
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1 Answer

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First figure:

In the first figure, the figure is reflected over the x-axis. In this case, just the position changes, the length of the sides and the angles do not. So in the first figure, the correct option is: Preserve both angle measure and segment length.

Second figure:

Reflection over the x-axis and then over the y-axis. Reflections don't change length of sides or angles. So the correct option is: Preserve both angle measure and segment length.

Third figure:

The figure is dilated, which makes the lengths of sides smaller. The measure of the angles, however, don't change in a dilation. So the correct option is: Preserves only angle measure.

Fourth figure:

The figure was moved, preserving the sides and angles. So the correct option is: Preserve both angle measure and segment length.

User Robert J Berger
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