Coordinate geometry (AQA GCSE Further Maths): Flashcards

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The distance between two points
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Theorem used to find distance between two points

Pythagoras' theorem

Shape formed when finding distance between points

Right-angled triangle

Distance between points is which part of triangle?

Hypotenuse

How to find horizontal distance between two points?

Difference between x-coordinates

How to find vertical distance between two points?

Difference between y-coordinates

Distance formula for (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2)

(x2−x1)2+(y2−y1)2\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Distance between P(3,1)P(3, 1) and Q(6,5)Q(6, 5)

55 units

Why square the horizontal and vertical distances?

To ensure positive values

Is distance ever negative?

No, distance is always positive

Best practice if no diagram provided in exam

Always draw a diagram

Does order of subtraction matter when finding distance?

No, because you square the result

How to check distance answer makes geometric sense?

Distance should be longer than either the horizontal or vertical distance alone

Explore AQA GCSE Further Maths Revision Notes by Topics

Coordinate geometry

Geometry I

Geometry II

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Coordinate geometry

Geometry I

Geometry II

Explore AQA GCSE Further Maths Quizzes by Topics

Coordinate geometry

Geometry I

Geometry II

Explore AQA GCSE Further Maths Exam Questions by Topics

Coordinate geometry

Geometry I

Geometry II

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