### Look Before You Leap

Can you spot a cunning way to work out the missing length?

### Triangle Midpoints

You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?

### Trapezium Four

The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?

# Points in Pairs

##### Stage: 4 Challenge Level:

What is the ratio $OP : OQ$ ?

Compare it with the ratio $OQ' : OP'$.