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The point P (5, 3) was reflected in the ...

The point P (5, 3) was reflected in the origin to get the image P'.
Name the figure PMP'N.

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To solve the problem of reflecting the point P (5, 3) in the origin and naming the figure PMP'N, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Coordinates of Point P**: The given point P has coordinates (5, 3). 2. **Reflect Point P in the Origin**: To find the image P' of point P after reflection in the origin, we change the signs of both the x and y coordinates. Therefore, the coordinates of P' will be: \[ P' = (-5, -3) \] 3. **Plot Points P and P' on a Cartesian Plane**: - Plot point P at (5, 3) on the Cartesian plane. - Plot point P' at (-5, -3). 4. **Draw Perpendiculars from Points P and P' to the X-Axis**: - From point P (5, 3), draw a vertical line down to the x-axis. Let the intersection point on the x-axis be M. - From point P' (-5, -3), draw a vertical line up to the x-axis. Let the intersection point on the x-axis be N. 5. **Identify the Coordinates of Points M and N**: - The coordinates of point M will be (5, 0). - The coordinates of point N will be (-5, 0). 6. **Connect Points to Form the Figure PMP'N**: - Draw a line segment from point P to point M. - Draw a line segment from point P' to point N. - The figure formed by these points is named PMP'N. ### Final Naming of the Figure: The figure PMP'N consists of the points P, M, P', and N, where M and N are the foot of the perpendiculars dropped from P and P' to the x-axis, respectively.
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