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

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

Options:

Correct Answer: (2, -3)

Solution:

Reflecting a point across the x-axis changes the sign of the y-coordinate. Thus, A(2, 3) becomes (2, -3).

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

In a coordinate plane, if the point A(2, 3) is reflected across 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 that reflecting a point across the x-axis means you will keep the x-coordinate the same and change the sign of the y-coordinate.
Step 3: Keep the x-coordinate of point A, which is 2.
Step 4: Change the sign of the y-coordinate of point A. The y-coordinate is 3, so changing the sign gives us -3.
Step 5: Combine the new x-coordinate and the new y-coordinate to get the reflected point. The reflected point is (2, -3).

Reflection across the x-axis – When a point (x, y) is reflected across the x-axis, its coordinates change to (x, -y).