1. Write down the coordinates of point A and point C. A is (2, 4) and C is (2, -2).
2. To find the midpoint, find the average of the x-coordinates and the average of the y-coordinates.
3. Midpoint x = (x1 + x2) / 2.
4. Midpoint y = (y1 + y2) / 2.
5. Calculate the midpoint x-coordinate: (2 + 2) / 2.
6. Calculate the midpoint y-coordinate: (4 + (-2)) / 2.
7. Write the final coordinates.
Full Answer
Point A has coordinates (2, 4).
Point C has coordinates (2, -2).
The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula:
( (x1 + x2)/2 , (y1 + y2)/2 )
Midpoint x-coordinate = (2 + 2) / 2 = 4 / 2 = 2.
Midpoint y-coordinate = (4 + (-2)) / 2 = 2 / 2 = 1.
So, the coordinates of the midpoint of AC are (2, 1).
Common mistakes
✗ Finding the difference instead of the average.
✗ Mixing up x and y coordinates.
✗ Errors with negative numbers.
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