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Enclosing Squares

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

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Graphical Triangle

Weekly Problem 35 - 2007
What is the area of the triangle formed by these three lines?

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Reflecting Lines

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

Parallel Lines

Stage: 3 Challenge Level: Challenge Level:1

Alter the positions of the line by moving the points.
How does the position of the line affect the equation of the line?

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Now explore what happens when you have two lines.
Position the lines so that they are parallel to each other.
Try various arrangements.

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What can you say about the equations of parallel lines?

You may want to take a look at Perpendicular Lines after this.