Math Problem Statement

Which describes the transformation of trapezoid LMNO?

Solution

The question asks about the transformation of trapezoid LMNOLMNO, and the image shows two trapezoids on the coordinate plane. From the image, we can see that trapezoid LMNOL'M'N'O' is a transformed version of LMNOLMNO.

Here's an analysis of the transformation:

  • The original trapezoid LMNOLMNO appears to be reflected downward.
  • Each corresponding point of the trapezoid (e.g., LL to LL', MM to MM') appears to be reflected across the xx-axis.

Thus, this is a reflection over the x-axis. The correct answer is B: reflection over the x-axis.

Would you like more details or further clarifications? Here are five related questions to explore the topic further:

  1. What is the general rule for reflecting a point over the x-axis?
  2. How would the coordinates of LMNOLMNO change if it were reflected over the y-axis?
  3. What are the coordinates of trapezoid LMNOLMNO and its reflection LMNOL'M'N'O'?
  4. How do you distinguish between reflection over the origin and over an axis?
  5. Can you perform other transformations, such as rotations, to get the same image?

Tip: When reflecting a figure over the x-axis, each point's y-coordinate changes sign, but the x-coordinate remains the same.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Transformations
Reflections

Formulas

Reflection over the x-axis: (x, y) -> (x, -y)

Theorems

Reflection Theorem

Suitable Grade Level

Grades 8-10