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In a coordinate plane, if the point A(2, 3) is reflected across the x-axis, what
In a coordinate plane, if the point A(2, 3) is reflected across the x-axis, what are the coordinates of the reflected point?
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Practice Questions
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Q1
In a coordinate plane, if the point A(2, 3) is reflected across the x-axis, what are the coordinates of the reflected point?
(2, -3)
(3, 2)
(-2, 3)
(3, -2)
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Reflecting a point across the x-axis changes the sign of the y-coordinate. Thus, A(2, 3) becomes (2, -3).
Questions & Step-by-step Solutions
1 item
Q
Q: In a coordinate plane, if the point A(2, 3) is reflected across the x-axis, what are the coordinates of the reflected point?
Solution:
Reflecting a point across the x-axis changes the sign of the y-coordinate. Thus, A(2, 3) becomes (2, -3).
Steps: 5
Show Steps
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).
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