Question

the preimage has been flipped over the x-axis to create the image. which description correctly describes this transformation? the preimage was rotated, creating a non-congruent image. the preimage was rotated, creating a congruent image. the preimage was reflected, creating a non-congruent image. the preimage was reflected, creating a congruent image.

Explanation:

1. First, identify the transformation: Flipping over the x - axis is a reflection (not rotation).
2. Then, recall the property of reflection: A reflection is a rigid transformation, which means the image and pre - image are congruent (same shape and size). So we can eliminate options with rotation and options with non - congruent.

Answer:

D. The preimage was reflected, creating a congruent image. (assuming the last option is D, if the options are labeled as A, B, C, D with the last one being "The preimage was reflected, creating a congruent image", then the answer is the option with that text. If the original options are labeled as, say, A, B, C, D where D is the last one, then it's D. If the labels are different, adjust accordingly, but the key is the option that says the preimage was reflected (since flipping over x - axis is reflection) and creating a congruent image (since reflection is a rigid transformation, preserving congruence).)