Middle of Centres

A Maths Starter of The Day

The blue point is exactly in the middle of two red points. What are their coordinates?


Now for the advanced student:

Which point is in the middle of the centres of enlargements?

The large red shape is an enlargement of the small red shape.
The large blue shape is an enlargement of the small blue shape.
[One small square represents one unit]

Teacher: Right click the diagram to zoom in.



Topics: Starter | Coordinates | Enlargements | Loci

  • Set 1 (maths geeks), Ecclesbourne School
  • We really enjoyed this starter, thank you.
  • Cathryn, China
  • It's a very good practice. Thank you.
  • Maggie, Devon
  • Engaging starter, numbers on axes need to be bigger.

    [Transum: Thanks for the suggestion Maggie. It has now been done.]
  • Buthayna,
  • 'Thank you. I used my own set of axes, but thank you for the idea.'.
  • C.O, London
  • This question does require a lot of brain work because the two points are far apart from the blue dot!

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