Question

Identifying Properties of Reflections
Which of the following statements are true about a reflection? Select all that apply.


An image created by a reflection will always be congruent to its pre-image.
Corresponding angles and segments are always congruent in a reflection of a figure.
Reflections can only be constructed across horizontal or vertical lines.
Reflections may change the size of a pre-image.
An image and its pre-image are always the same distance from the line of reflection.

Answer 1

True: 1, 2, and 5.

- A reflection is an isometry, so the image is always congruent to the pre-image (1 true).
- Reflections preserve angles and segment lengths, so corresponding angles and segments are congruent (2 true).
- Reflections can be across any line, not just horizontal or vertical (3 false).
- Reflections do not change size (4 false).
- Each point and its image are equidistant from the line of reflection (5 true).