Which statements are true? Select all that apply.

Question

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.