Question

which statements are true about reflections? check all that apply. an image created by a reflection will always be congruent to its pre - image. an image and its pre - image are always the same distance from the line of reflection. if a point on the pre - image lies on the line of reflection, the image of that point is the same as the pre - image. the line of reflection is perpendicular to the line segments connecting corresponding vertices. the line segments connecting corresponding vertices are all congruent to each other. the line segments connecting corresponding vertices are all parallel to each other.

Explanation:

1. A reflection is a rigid transformation, so the image and pre - image are congruent.
2. By the definition of reflection, an image and its pre - image are equidistant from the line of reflection.
3. Points on the line of reflection do not move under reflection.
4. The line of reflection is perpendicular to the line segments connecting corresponding vertices.
5. The line segments connecting corresponding vertices are congruent as it is a property of reflection.
6. The line segments connecting corresponding vertices are parallel to each other.

Answer:

An image created by a reflection will always be congruent to its pre - image.
An image and its pre - image are always the same distance from the line of reflection.
If a point on the pre - image lies on the line of reflection, the image of that point is the same as the pre - image.
The line of reflection is perpendicular to the line segments connecting corresponding vertices.
The line segments connecting corresponding vertices are all congruent to each other.
The line segments connecting corresponding vertices are all parallel to each other.