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Coordinate Geometry and Vectors

Quick questions on Length and midpoint of a line segment explained: N(A)-Level Mathematics Coordinate Geometry and Vectors

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the midpoint formula?
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The midpoint is exactly halfway between the two points. You find it by averaging the xx values and averaging the yy values:
What is rounding the length?
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A length is often a surd such as 20\sqrt{20}. Leave it exact if the question allows, or round to the requested accuracy (commonly 33 significant figures) if a decimal is asked for. Keep the value exact through the working and round only at the very end, so rounding does not build up errors.
What are sign errors with negatives?
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4(2)4 - (-2) is 66, not 22. Subtracting a negative adds.

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