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.

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Let's analyze each statement about reflections to determine which ones are true:

1. **An image created by a reflection will always be congruent to its pre-image.**
   - **True**: A reflection is a rigid transformation, meaning it preserves distances and angles. Therefore, the image will be congruent to the pre-image.

2. **An image and its pre-image are always the same distance from the line of reflection.**
   - **True**: By definition, a reflection creates an image that is equidistant from the line of reflection. Each point on the image is the same distance from the line as the corresponding point on the pre-image.

3. **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.**
   - **True**: If a point is on the line of reflection, it does not move during the reflection. Thus, the image of that point is the same as the pre-image.

4. **The line of reflection is perpendicular to the line segments connecting corresponding vertices.**
   - **True**: The line of reflection is always perpendicular to the segments that connect corresponding points (or vertices) of the pre-image and image.

5. **The line segments connecting corresponding vertices are all congruent to each other.**
   - **True**: Since the reflection preserves distances, the segments connecting corresponding vertices of the pre-image and image are congruent.

6. **The line segments connecting corresponding vertices are all parallel to each other.**
   - **False**: The segments connecting corresponding vertices are not necessarily parallel; they are perpendicular to the line of reflection, but they can be at different angles depending on the shape being reflected.

In summary, the true statements about reflections are:
- 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 true statements about reflections are: - The image is congruent to the pre-image. - The image and pre-image are the same distance from the line of reflection. - Points on the line of reflection remain unchanged. - The line of reflection is perpendicular to the connecting segments. - The connecting segments are congruent. False statement: - The connecting segments are not necessarily parallel.

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