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In a coordinate plane, if the point A(2, 3) is reflected over the x-axis, what a

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Question: In a coordinate plane, if the point A(2, 3) is reflected over the x-axis, what are the coordinates of the reflected point?

Options:

  1. (2, -3)
  2. (3, 2)
  3. (-2, 3)
  4. (-3, -2)

Correct Answer: (2, -3)

Solution: 

Reflecting a point (x, y) over the x-axis results in (x, -y). Therefore, A(2, 3) becomes (2, -3).

In a coordinate plane, if the point A(2, 3) is reflected over the x-axis, what a

Practice Questions

Q1
In a coordinate plane, if the point A(2, 3) is reflected over the x-axis, what are the coordinates of the reflected point?
  1. (2, -3)
  2. (3, 2)
  3. (-2, 3)
  4. (-3, -2)

Questions & Step-by-Step Solutions

In a coordinate plane, if the point A(2, 3) is reflected over the x-axis, what are the coordinates of the reflected point?
  • Step 1: Identify the coordinates of point A. The coordinates are (2, 3).
  • Step 2: Understand what reflecting over the x-axis means. It means that the x-coordinate stays the same, but the y-coordinate changes sign.
  • Step 3: Apply the reflection rule. Keep the x-coordinate (which is 2) the same, and change the y-coordinate (which is 3) to its negative value (-3).
  • Step 4: Write down the new coordinates after reflection. The reflected point is (2, -3).
  • Reflection over the x-axis – Understanding how to reflect points in a coordinate plane, specifically how the y-coordinate changes sign while the x-coordinate remains the same.
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