Question

1. which of the following transformations would not produce a congruent pre - image and image ?

dilation
rotation
reflection
translation

Explanation:

To determine which transformation does not produce congruent pre - image and image, we analyze each option:

• Rotation: Rotation is a transformation that turns a figure around a fixed point. The shape and size of the figure remain the same, so the pre - image and image are congruent.
• Reflection: Reflection is a transformation that flips a figure over a line (the line of reflection). The shape and size of the figure are preserved, so the pre - image and image are congruent.
• Translation: Translation is a transformation that slides a figure from one position to another without changing its shape, size, or orientation. So the pre - image and image are congruent.
• Dilation: Dilation is a transformation that changes the size of a figure. It either enlarges or reduces the figure by a scale factor. Since the size changes, the pre - image and image are not congruent.

Answer:

A. dilation