### Surprising Transformations

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

### Painting Between the Lines

In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?

### Kite in a Square

Can you make sense of the three methods to work out the area of the kite in the square?

# Perpendicular Lines

##### Stage: 4 Challenge Level:

You may want to take a look at Parallel Lines before attempting this problem.

Take a look at the interactivity below which allows you to move the vertices and make different squares.
The adjacent sides of a square are perpendicular to each other.
How would you describe going from one vertex to the next? And to the next? And to the next?...

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