The midpoint of a line joining two points (AQA GCSE Further Maths): Flashcards

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The midpoint of a line joining two points
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Definition of midpoint

Exact centre point dividing line into two equal parts

Midpoint formula

(x1+x22,y1+y22)\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

Method to find midpoint

Average x-coords, then average y-coords

Midpoint of (-4, 2) and (2, 5)

(-1, 3.5)

Midpoint of (a,b)(a, b) and (3a,5b)(3a, 5b)

(2a,3b)(2a, 3b)

What midpoint coords represent

Means (averages) of endpoints' coordinates

Critical step in midpoint calculation

Divide by 2 for both coordinates

Memory aid for midpoint process

Average the x's, average the y's

Common mistake with coordinates

Mixing up x-coords with y-coords

Coordinate types formula works with

Positive, negative, fractions, algebraic expressions

Position of midpoint on line segment

Exactly halfway, horizontally and vertically

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Coordinate geometry

Geometry I

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Coordinate geometry

Geometry I

Geometry II

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Coordinate geometry

Geometry I

Geometry II

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Coordinate geometry

Geometry I

Geometry II

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