Question

rectangle abcd, with four 90° angles, undergoes a translation followed by a dilation. which of the following properties are not preserved after this composition transformation? (1 point)
angle measure
orientation
distance
shape
incorrect
the general shape of the rectangle will be preserved, even though it was moved and dilated.
check answer remaining attempts : 1

Explanation:

Step1: Recall properties of translation

Translation is a rigid - motion that preserves angle measure, orientation, shape, and distance.

Step2: Recall properties of dilation

Dilation changes the size of a figure. It preserves angle measure and orientation (if the center of dilation is not on the figure, orientation is preserved in a sense related to the overall shape). But it changes the distance between points. For example, if the scale factor of dilation is \(k\), the distance between any two points in the original figure and the corresponding points in the dilated figure is related by \(d'=k\times d\), where \(d\) is the original distance and \(d'\) is the new distance. The shape of a rectangle is still a rectangle after dilation (a special case of shape - preservation for similar figures), and angle measures remain the same (\(90^{\circ}\) for a rectangle).

Answer:

C. distance