Polygon Synthesizer

[i][b]Using the sliders in the right hand panel you can fold the chain of links[br]in the left hand panel to make triangles, quadrilaterals and pentagons.[br][br]How can you fold the chain to build each of the following kinds of triangle[br][ scalene - isosceles - equilateral - acute - obtuse - right ][br][br]How can you fold the chain to build each of the following kinds of quadrilateral[br][ square - parallelogram - rhombus - kite - trapezoid - right angle trapezoid - quad that can be inscribed in a circle - quad in which a circle can be inscribed][br]Can you build non-convex quads?[br][br]How can you fold the chain to build[br][ regular pentagons - cyclic pentagons - degenerate pentagons that look like quads - degenerate pentagons that look like triangles ][br]Can you build non-convex pentagons?[br][br]If this applet had a chain with six links could you fold the chain to build hexagons?[br]What controls would you need?[br][br][/b][/i][b][i][color=#ff0000]What other problems could/would you set for your students based on this applet?[/color][/i][/b]
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