Line segments (Edexcel GCSE Maths): Flashcards

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Line segments
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Line segment definition

Straight line section connecting two specific points

Line segment vs full line

Line segment has definite start and end points

Theorem for line segment length

Pythagoras' theorem

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

d=(x2x1)2+(y2y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

Line segment in right-angled triangle

The hypotenuse

How to find horizontal distance

Subtract x-coordinates

How to find vertical distance

Subtract y-coordinates

Values used in Pythagoras' theorem

Only positive values

Subtracting a negative number

Same as adding a positive number

Sign of distance values

Cannot be negative

Sketching points in exams

Helps visualise problem and prevent errors

Showing working in exams

Gain method marks even if answer is wrong

Typical rounding for line segment length

2 decimal places

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