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Is a Square a Rectangle?

How many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?

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Part the Polygons

Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.

Cutting it Out

Stage: 1 and 2 Challenge Level: Challenge Level:1

So, I started with a $10$ by $10$ green square,
I marked the half-way point along the top edge,
I then drew a line from that point to a corner at the base.
pic1pic2pic3
Then I cut the corner piece out along that line and made a change of colour, so I ended up with these two shapes:

pic4a
What can you say about these two shapes?
Can you say something about the relationship between them?
Do you have any other ideas about these two shapes?

What about starting with a rectangle like this ...
rect1

Then you could mark it at half-way or elsewhere ...
rect2rect3
What can you say now?