X, Y and Z Coordinates (Edexcel GCSE Maths): Flashcards

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X, Y and Z Coordinates
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Purpose of coordinate systems

Describe exact position of points in space

Fixed reference point in coordinate system

Origin

Number of quadrants in coordinate plane

Four

Signs in top-right quadrant (x,y)(x, y)

(+,+)(+, +) both positive

Signs in top-left quadrant (x,y)(x, y)

(,+)(-, +) x negative, y positive

Signs in bottom-left quadrant (x,y)(x, y)

(,)(-, -) both negative

Signs in bottom-right quadrant (x,y)(x, y)

(+,)(+, -) x positive, y negative

Format for writing 2D coordinates

(x,y)(x, y) with x first, then y

What does xx coordinate represent?

Horizontal position (left/right from centre)

What does yy coordinate represent?

Vertical position (up/down from centre)

Definition of midpoint

Point exactly halfway between two given points

How to find midpoint coordinates

Average x-coords, then average y-coords

Format for 3D coordinates

(x,y,z)(x, y, z) with z as third dimension

What does zz-axis represent in 3D?

Forward/backward dimension (towards you or away)

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