# 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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### Polygon in Annulus

A polygon of side length two is shown with a circle circumscribing its vertices. A second circle is shown with the sides of the polygon tangential to the circle. The challenge is to calculate...

### Crossed Lines

The equations of two intersecting lines are given. The challenge is to use Pythagoras’ theorem to show that the triangle formed by the lines and the y-axis is a right-angle. The point of intersection is determined by solving simultaneous equations.

Each example is derived from a pair of perpendicular lines....

### Straight Line

A straight line is shown with the x and y axis intercepts shown. A point P is marked on the line but the coordinates are not given. P is then joined back to the origin, splitting the triangle into two parts. The challenge is to find the area of...

### Strange Guys

Two verticals masts on a horizontal base have ropes tethered to each other’s base. The challenge is to find the height at which the ropes cross. When working on numerical examples, it becomes...