# Something in Common: Geometry

This sub-collection of resources from the ‘Something in Common’ collection contains 22 resources designed to bring a problem solving approach to the teaching of geometry at Key Stages 3 and 4. Each resource has an introductory presentation, printed materials, and additionally many have supporting files in either Excel or Geogebra format. The topics covered are:

• Sine Rule

• Cosine Rule

• Area of a circle

• Area of a kite

• Circle theorems
• Perpendicular lines

• Similar triangles

• Angles in a Polygon

## Resources

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### Four Crescents

A diagram is shown with a circle, centred on a rectangle with given dimensions.  Semi-circular arcs are drawn with the sides of the rectangle as diameters. The areas between the semi-circles and the circles form crescents. The task is to calculate the area of the crescents.

When working on the numerical...

### Triangle xy Area

A circle is drawn that is tangent to the three sides of the triangle. The two constituent lengths of the hypotenuse are given and the challenge is to calculate the area of the triangle. When...

The initial challenge is to attempt to draw a quadrilateral that does not tessellate. There is a Geogebra file included with the resources that will help demonstrate the impossibility of the...

### Angle at Centre, Angle on Arc Investigation

This investigation covers two circles theorems through one demonstration. The theorems are:

• That the angles on the same arc forming a chord are equal

• That the angle at the centre is twice the angle at the arc when drawn from the same chord

The initial...