The point P (5, 3) was reflected in the origin to get the image P'.
If N is the foot of the perpendicular from P' to the x-axis, find the co-ordinates of N.

Answer

To solve the problem step by step, we will follow the instructions provided in the question.

### Step 1: Identify the coordinates of point P
The point P is given as (5, 3).

### Step 2: Reflect point P in the origin to find point P'
To reflect a point (x, y) in the origin, we change the signs of both coordinates. Therefore, the coordinates of point P' will be:
- P' = (-x, -y) = (-5, -3)

### Step 3: Identify the foot of the perpendicular from P' to the x-axis
The foot of the perpendicular from any point (x, y) to the x-axis will have the same x-coordinate as the point but a y-coordinate of 0. Thus, the coordinates of point N, which is the foot of the perpendicular from P' to the x-axis, will be:
- N = (x', 0) = (-5, 0)

### Final Answer
The coordinates of point N are (-5, 0).

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