This key facts covers Key Methods within Coordinates for GCSE Mathematics. Revise Coordinates in Graphs for GCSE Mathematics with 10 exam-style questions and 20 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 5 of 8 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 5 of 8
Practice
10 questions
Recall
20 flashcards
Key Methods
Reading Coordinates
Always read coordinates as (x, y):
- Start from the origin (0, 0)
- Move horizontally by the x-value (right if positive, left if negative)
- Move vertically by the y-value (up if positive, down if negative)
- Mark the point
Distance Between Points
For points A(x₁, y₁) and B(x₂, y₂):
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Midpoint Formula
For points A(x₁, y₁) and B(x₂, y₂):
Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Keep building this topic
Read this section alongside the surrounding pages in Coordinates. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Coordinates
Which point has coordinates (–3, 5)?
A triangle has vertices at P(−1, 2), Q(3, 5) and R(7, 2). Show that the triangle is isosceles.
Quick Recall Flashcards
10 questions on Coordinates — practise free
Instant marking, adaptive difficulty, and 20 spaced repetition flashcards. Free until your GCSEs.
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