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Four rods are hinged at their ends to form a convex quadrilateral with edges of length 3, 4, 5 and 6 (in that order). Investigate the different shapes that the quadrilateral can take if the polygon is always convex.
How do the angles change […]
Look at the triangle with angles marked 1, 2 and 3.
Call this T.
Label angles equal to these angles. Why are they equal?
Look at the larger heavily outlined triangle.
How many copies of triangle T can […]
Investigations of angle properties of parallel lines, similarity in 2 and 3 dimensions and scale factors for linear, area and volume enlargement.
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Draw the diagram accurately starting with a regular pentagon.
Find all the angles in the diagram.
Label 4 sets of congruent triangles. Which triangles are similar?
Describe the symmetries of the shape (that is the transformations that map the shape onto itself).
Describe the symmetries […]
Can you fit them together to make an enlargement of the shape? What is its area?
Can you fit trisquares together to make enlargements of scale factors 3, 4 and 5? What are their areas?
Is it […]