Question

how does rotation affect a preimage?
rotation moves a preimage in a circular motion around a point, creating a congruent image.
rotation flips a preimage over a line, creating a congruent image.
rotation slides or shifts from one place to another, creating a congruent image.
rotation changes the size of a preimage without changing the shape, creating a non - congruent image.

Explanation:

• Analyze each option:
• Option 1: Rotation is defined as moving a figure (preimage) in a circular motion around a fixed point (center of rotation). Rotations are rigid transformations, so the image is congruent to the preimage. This matches the definition of rotation.
• Option 2: Flipping a preimage over a line is a reflection, not a rotation. So this option is incorrect.
• Option 3: Sliding or shifting a figure from one place to another is a translation, not a rotation. So this option is incorrect.
• Option 4: Rotations are rigid transformations, meaning they preserve size and shape, so the image is congruent to the preimage. Also, changing the size would be a dilation, not a rotation. So this option is incorrect.

Answer:

A. Rotation moves a preimage in a circular motion around a point, creating a congruent image.