Question

Which statements are true? Select all that apply.

Select 2 correct answer(s)
Question 2 options:

A transformation of a figure that creates a mirror image over a line is a reflection.



A transformation that slides each point of a figure in a plan according to a common operation is called a rotation.

Isometry is the process of preserving the distance of a geometric image to another location using a reflection, rotation, or translation.

The original image is called the image.

Answer 1

Let's evaluate each statement:

1. **A transformation of a figure that creates a mirror image over a line is a reflection.**
- **True**. A reflection is indeed a transformation that flips a figure over a specified line, creating a mirror image.

2. **A transformation that slides each point of a figure in a plane according to a common operation is called a rotation.**
- **False**. A transformation that slides each point of a figure in a plane according to a common operation is called a translation, not a rotation. A rotation involves turning the figure around a fixed point.

3. **Isometry is the process of preserving the distance of a geometric image to another location using a reflection, rotation, or translation.**
- **True**. Isometry refers to transformations that preserve distances and angles, including reflections, rotations, and translations.

4. **The original image is called the image.**
- **False**. The original figure is typically referred to as the "pre-image," while the transformed figure is called the "image."

Based on this evaluation, the two correct answers are:

- A transformation of a figure that creates a mirror image over a line is a reflection.
- Isometry is the process of preserving the distance of a geometric image to another location using a reflection, rotation, or translation.