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 preimage and the result is congruent? choose the correct answer.
a
b
○ a reflection followed by a translation
○ a reflection followed by a dilation
○ two translations
○ a dilation followed by a translation

Explanation:

Step1: Recall congruence - preserving transformations

Transformations that preserve congruence are translations, rotations and reflections. Dilation changes the size of a figure and does not preserve congruence.

Step2: Analyze each option

• A reflection followed by a translation: Both reflection and translation are rigid - motions that preserve congruence.
• A reflection followed by a dilation: Dilation changes the size, so the figures won't be congruent.
• Two translations: Translations are rigid - motions that preserve congruence.
• A dilation followed by a translation: Dilation changes the size, so the figures won't be congruent.

Answer:

A. a reflection followed by a translation; C. two translations