ExpertEasy1 markShort Answer
AQA GCSE · Question 04.2 · Geometry and Measures
Write down the coordinates of the midpoint of AC.
Write down the coordinates of the midpoint of AC.
How to approach this question
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
(2, 1)
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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