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

Answer

To solve the problem step by step, we will find the coordinates of point M, which is the foot of the perpendicular from point P (5, 3) to the x-axis.

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

### Step 2: Understand the position of point M
Point M is the foot of the perpendicular dropped from point P to the x-axis. The x-axis is defined by the equation y = 0.

### Step 3: Determine the x-coordinate of point M
Since point M is directly below point P on the x-axis, it will have the same x-coordinate as point P. Therefore, the x-coordinate of M is:
- x-coordinate of M = x-coordinate of P = 5

### Step 4: Determine the y-coordinate of point M
Since point M lies on the x-axis, its y-coordinate will be 0. Therefore, the y-coordinate of M is:
- y-coordinate of M = 0

### Step 5: Write the coordinates of point M
Combining the x and y coordinates, we find that the coordinates of point M are:
- M = (5, 0)

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

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