Math Problem Statement

The point P(1, 5) is reflected over the y-axis. What are the coordinates of the resulting point, P'?

Solution

To solve this, we need to reflect the point P(1,5)P(1, 5) over the y-axis.

When a point is reflected over the y-axis, the x-coordinate changes its sign, but the y-coordinate remains the same.

So, the reflection of P(1,5)P(1, 5) over the y-axis will be: P(1,5)P'(-1, 5)

Thus, the coordinates of the resulting point PP' are (1,5)(-1, 5).

Would you like further clarification or details? Here are a few related questions:

  1. What are the effects of reflecting a point over the x-axis?
  2. How do you reflect a point over the origin?
  3. What is the general rule for reflecting points over any vertical or horizontal line?
  4. Can reflections be performed on other geometric shapes, and if so, how?
  5. How would reflecting a point change the distance from the origin?

Tip: Remember, for reflections over the y-axis, the x-coordinate changes its sign, and the y-coordinate stays 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
Reflection of Points

Formulas

Reflection formula over the y-axis: (x, y) → (-x, y)

Theorems

Reflection of points over the y-axis

Suitable Grade Level

Grades 6-8