Math Problem Statement

The point RR is plotted on the coordinate grid below. Plot the point R, primeR ′ , the reflection of RR over the x-axis., On this question page, you will first plot the point. Then, after you plot the point, the final answer area will appear with blanks to fill in. Click on the graph to plot a point. Click a point to delete it.

Solution

To reflect a point R(x,y)R(x, y) over the x-axis, you need to change the sign of the y-coordinate while keeping the x-coordinate the same. The reflection of the point R(x,y)R(x, y) over the x-axis will be R(x,y)R'(x, -y).

For example, if the coordinates of point RR are (a,b)(a, b), then the coordinates of the reflected point RR' will be (a,b)(a, -b).

  1. Plot the original point RR on the coordinate grid.
  2. Determine the reflected point RR' by changing the sign of the y-coordinate.
  3. Plot the point RR' on the grid.

If you provide the coordinates of point RR, I can help you find the coordinates of RR' and guide you through plotting it.

Would you like any further details or have any questions?

Here are 5 related questions:

  1. How do you reflect a point over the y-axis?
  2. What happens to the coordinates of a point when it is reflected over the origin?
  3. Can a point be its own reflection? If yes, under what conditions?
  4. How do you find the midpoint between two points on a coordinate plane?
  5. What is the distance formula between two points on a coordinate plane?

Tip: When reflecting over the x-axis, remember that only the y-coordinate changes its sign. 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

Coordinate Geometry
Reflections

Formulas

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

Theorems

Reflection Theorem

Suitable Grade Level

Grades 6-8