Paper 22 Q15(a)IGCSE 0580 May/June 2023

Question

C is the point (5,-1) and D is the point (13, 15). Find the midpoint of CD.

This question tests your ability to find the midpoint of a line segment using coordinate geometry. Finding midpoints is essential for many geometric problems and is a fundamental skill in coordinate geometry.

Step-by-Step Solution

Key Takeaway

The midpoint formula finds the average of the x-coordinates and the average of the y-coordinates.

Common Mistakes

Mixing up the coordinates when substituting into the formula, such as using (5, 15) and (13, -1) instead of the correct points
Forgetting to handle the negative y-coordinate correctly, writing (-1 + 15)/2 as (-16)/2 instead of 14/2

Exam Tip

Always double-check which point is which before substituting into the midpoint formula, and be extra careful with negative coordinates.

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