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Enclosing Squares

Can you find sets of sloping lines that enclose a square?

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Parallel Lines

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

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Weekly Problem 35 - 2007

What is the area of the triangle formed by these three lines?

Perpendicular Lines

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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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