Question

pre - image and image are:
corresponding angles are:
corresponding sides are:

Explanation:

To answer these questions, we refer to the properties of transformations (like translations, rotations, reflections, or dilations) in geometry:

1. Pre - Image and Image are:

In a transformation, the pre - image is the original figure, and the image is the figure after the transformation is applied. Under rigid transformations (translation, rotation, reflection), the pre - image and image are congruent (same shape and size). Under a dilation (a non - rigid transformation that scales the figure), they are similar (same shape, proportional size). If the problem is about rigid transformations (the most common introductory context), the pre - image and image are congruent.

2. Corresponding angles are:

For two figures related by a transformation (especially a similarity or congruence transformation), corresponding angles are equal in measure (congruent). In similar figures, corresponding angles have the same measure, and in congruent figures, corresponding angles also have the same measure (since congruent figures are a special case of similar figures with a scale factor of 1).

3. Corresponding sides are:

• In congruent figures (from rigid transformations), corresponding sides are equal in length (congruent).
• In similar figures (from a dilation or other similarity transformations), corresponding sides are proportional (their lengths have a constant ratio, called the scale factor).

If we assume a rigid transformation (like translation, rotation, or reflection) for a basic geometry context:

• Pre - Image and Image: Congruent (same shape and size) under rigid transformations.
• Corresponding angles: Equal in measure (congruent).
• Corresponding sides: Equal in length (congruent) under rigid transformations.

Answer:

s:

• Pre - Image and Image: Congruent
• Corresponding angles: Equal (congruent)
• Corresponding sides: Equal (congruent) (for rigid transformations)

(Note: If the transformation is a dilation, corresponding sides are proportional and corresponding angles are still equal. The answer can be adjusted based on the specific type of transformation, but the above is standard for rigid transformations taught in introductory geometry.)