G11a – Solve geometrical problems on coordinate axes

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A starting point

An activity to help familiarise students with sketches i.e. diagrams without gridlines.

Working with sketches worksheet

Finding the coordinates of a mid-point, finding the length of a line segment, and finding the shortest distance from a point to a line

Teacher resources

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  • Slides in PPTX (with click-to-reveal answers)
  • Slides in PDF (one slide per page, suitable for importing into IWB software)
  • Worksheet (with space for students work) covering finding the coordinates of a mid-point, finding the length of a line segment, and finding the shortest distance from a point to a line
  • Handout (slides with exercises only; 4 per page for reduced printing)
Links to past exam questions

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Interactive GeoGebra activity: Midpoints

Interactive GeoGebra activity: Area of a triangle and coordinate geometry

In this activity, at least one side of the triangle will be parallel to one of the axes.

Difficulty levels 3 and 4 in this applet were inspired by this tweet posted by Dan Draper.

In the real world

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