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### Number and algebra

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# Coordinates of Corners

*This resource is part of "Dotty Grids - Exploring Coordinates and Vectors"*

Move the dots below to make some squares. Can you make a variety of squares whose sides are not parallel to the axes?

If you have a set of four coordinates, is there a quick way to decide (without drawing) whether they form a square?

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Age 11 to 16

Move the dots below to make some squares. Can you make a variety of squares whose sides are not parallel to the axes?

If you have a set of four coordinates, is there a quick way to decide (without drawing) whether they form a square?

P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?