Which of the following is true for an isometry? (1 point) Responses The preimage and the image are congruent. The preimage and the image are congruent. The preimage is larger than the image. The preimage is larger than the image. The preimage is smaller than the image. The preimage is smaller than the image. The preimage is the same position as the image.
The preimage and the image are congruent.
The correct statement for an isometry is: "The preimage and the image are congruent."
The correct answer is: The preimage and the image are congruent.
An isometry is a transformation that preserves distance, angles, and shapes. It basically means that the preimage and the image have the same shape and size; they are congruent. To determine this, you would need to analyze the properties of each transformation option.
In this case, we can eliminate the options that state "The preimage is larger than the image" and "The preimage is smaller than the image" since isometries preserve the size of the objects being transformed.
We can also eliminate the option that states "The preimage is the same position as the image" because isometries may involve translation, rotation, or reflection, which implies a change in position.
Therefore, the only remaining option is "The preimage and the image are congruent," which is true for an isometry.