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Quadrants and Axes (F)

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Quadrants and Axes (F)

Plot points on coordinate axes. Learn x- and y-axis, quadrants, and reflections so you can read and draw coordinates accurately in GCSE Foundation Maths.

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Fascinating Fact:

For a mirror puzzle, reflecting across the x axis flips the height only. Example: (4, 3) becomes (4, −3).

In GCSE Maths, you use the coordinate plane to locate and describe positions. You’ll read and plot coordinates, identify quadrants, use the origin and axes correctly, and reflect points across the x- or y-axis.

Key Terms

Origin: The point (0, 0) where the x-axis and y-axis cross.
Coordinate: An ordered pair (x, y) showing horizontal then vertical position.
Quadrant: One of four regions of the plane, split by the axes.

Frequently Asked Questions (Click to see answers)

How do I plot a coordinate like (−2, 4)?

Start at the origin. Move 2 units left along the x-axis (because x is −2), then 4 units up along the y-axis. Place the point there.

What happens when a point is reflected in the x-axis?

The x-value stays the same and the y-value changes sign. So (a, b) becomes (a, −b).

How do I know which quadrant a point is in?

Use signs: I (+,+), II (−,+), III (−,−), IV (+,−). Points on an axis are not in any quadrant.

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Author: Sally Thompson (MSc Operational Research, Secondary Maths Teacher & Quiz Writer)

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