# 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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### Three Circles and a Tangent

Three circles are shown touching and sharing a common tangent. The radii of the two larger circles are given. The challenge is to calculate the value of the radius of the smallest circle....

### What’s the Sine Rule Ratio?

A triangle is shown divided into two regions by a straight line, resulting in the triangle being split into a smaller triangle and a cyclic quadrilateral. A task is set to determine the ratio of an angle and an opposite side. In each of the numerical examples given the answer to 6 significant figures is 14.

...

### Criss-crossing

In this resource students are given four coordinate points and asked to find the equation of the lines that connect them. The four lines intersect to form a rectangle- can students find the area of the rectangle?

Each student worksheet contains different coordinate points, but the solutions all have...

### Determine the diagonals

In this resource students are given a quadrilateral with one angle of 60 degrees and varying side lengths- with two of the sides of equal length. The challenge is to calculate the lengths of the diagonals.

Each student worksheet contains a different quadrilateral, but the solutions all have something in...