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studyGeometry & Mensuration
CoreMaths revision

Coordinate Geometry

Use coordinates to encode gradient, distance, midpoint and straight-line relationships.

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Focus points
✓Find midpoint and distance.
✓Write line equations.
✓Use gradient conditions for parallel/perpendicular lines.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · midpoint
Find the midpoint of A(−4,7) and B(8,−1).
Question 2FluencyCore
Original practice · Free Online Revision
Skill · gradient
Find the gradient of the line through (−2,5) and (4,−7).
Question 3FluencyCore
Original practice · Free Online Revision
Skill · line equation
Find the equation of the line with gradient 3 through (2,−1).
Question 4FluencyCore
Original practice · Free Online Revision
Skill · line equation
Find the equation of the line through (1,4) and (5,12).
Question 5FluencyCore
Original practice · Free Online Revision
Skill · distance
Find the distance between (1,2) and (7,10).
Question 6FluencyCore
Original practice · Free Online Revision
Skill · parallel line
Find the equation of the line parallel to y=−4x+9 through (3,2).
Question 7ReasoningStretch
Original practice · Free Online Revision
Skill · perpendicular bisector
Find the equation of the perpendicular bisector of the segment from (0,0) to (6,4).
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · coordinate proof
Show that A(1,1), B(5,3), C(3,7) form an isosceles triangle.