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The mirror image of point( - 3 ,5 )
in y axis?
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The mirror image of point( - 3 ,5 )in y axis?
Understanding Mirror Images in Coordinate Geometry
The concept of mirror images in coordinate geometry is fundamental, especially when reflecting points across axes. When reflecting a point across the y-axis, the x-coordinate of the point changes sign, while the y-coordinate remains unchanged.
Original Point
- The original point given is P(-3, 5).
Reflection Across the Y-Axis
- To find the mirror image of point P across the y-axis:
- Change the sign of the x-coordinate.
- Keep the y-coordinate the same.
Calculating the Mirror Image
- For the point P(-3, 5):
- The x-coordinate is -3. Changing its sign gives us +3.
- The y-coordinate remains 5.
Mirror Image Point
- Therefore, the mirror image of point P(-3, 5) across the y-axis is:
- P' (3, 5).
Conclusion
- The final result indicates that the point P' (3, 5) is positioned symmetrically on the opposite side of the y-axis compared to the original point P(-3, 5).
This reflection illustrates how points can be easily manipulated in the Cartesian plane, allowing for deeper insights into geometric transformations.
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The mirror image of point( - 3 ,5 )in y axis?
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