Question

a meteorologist created the graphic shown for a storm - chaser van. what transformations could be used to create the graphic if figure a is the pre - image and figure b is the image? choose the correct answer.
a reflection followed by a translation
a reflection followed by a dilation
two translations

Explanation:

Step1: Recall transformation properties

A reflection flips a figure over a line, a translation slides a figure, and a dilation changes the size of a figure. Congruent figures have the same shape and size.

Step2: Analyze options

A dilation changes the size of a figure, so if there is a dilation, the pre - image and image are not congruent. Two translations just move the figure without changing its orientation or size. A reflection followed by a translation can map one congruent figure to another. Since the question asks for congruent figures and a reflection followed by a dilation would result in non - congruent figures (due to the dilation changing size), and two translations may not change the orientation as shown, the correct transformation for congruent figures is a reflection followed by a translation.

Answer:

a reflection followed by a translation