Which of the following is not true of a trapezoid that has been reflected across the x-axis?
Responses

The new trapezoid is the same size as the original trapezoid.
The new trapezoid is the same size as the original trapezoid.

The new trapezoid is the same shape as the original trapezoid.
The new trapezoid is the same shape as the original trapezoid.

The new trapezoid is in the same orientation as the original trapezoid.
The new trapezoid is in the same orientation as the original trapezoid.

The x-coordinates of the new trapezoid are the same as the x-coordinated of the original trapezoid.

The statement **"The new trapezoid is in the same orientation as the original trapezoid"** is **not true**.

When a trapezoid is reflected across the x-axis:
- The size remains the same.
- The shape remains the same.
- The x-coordinates remain unchanged.
However, the orientation changes because the reflection flips the figure vertically, creating a mirror image.

Would you like more details on how reflections work?

Here are five related questions for deeper understanding:
1. What happens to the y-coordinates when a shape is reflected across the x-axis?
2. How does a reflection differ from a rotation in geometry?
3. What properties of a trapezoid remain unchanged after a reflection across any axis?
4. Can a reflection change the area of a trapezoid?
5. How would the reflection change if the trapezoid were reflected across the y-axis instead?

**Tip:** In geometric transformations, reflections always produce mirror images across the line of reflection.

Which of the following is not true of a trapezoid that has been reflected across the x-axis?
- The new trapezoid is the same size as the original trapezoid.
- The new trapezoid is the same shape as the original trapezoid.
- The new trapezoid is in the same orientation as the original trapezoid.
- The x-coordinates of the new trapezoid are the same as the x-coordinates of the original trapezoid.

Explore the geometric transformation of reflecting a trapezoid across the x-axis. Understand why the shape and size remain the same, but the orientation changes. This problem highlights key geometric concepts suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation