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http://www.teachers.ash.org.au/m ikemath/movies/quadrilateral1.ht ml tessellations with quadrilaterals E5 predict and construct figures made by combining two triangles Investigate the various polygons that could be made using each of the following pairs of triangles: • Two congruent equilateral triangles from the pattern blocks • Two congruent isosceles right triangles from a tangram set • Two congruent isosceles triangles made from a rectangle cut along both diagonals Investigate the various polygons that could be made using each of the following pairs of triangles: • Two congruent right triangles created from a rectangle cut along one diagonal equal angles • Two congruent acute/obtuse triangles created from a parallelogram cut along one diagonal • Two different isosceles triangles with equal bases created from a kite cut on the diagonal joining equal angles Let’s Practise! Combine the triangle shown to you to draw the various results of combining it with another congruent triangle. E5.1 Cut a rectangle along one diagonal and investigate the other polygons that can be made using these two triangles. Next, place the two triangles to make the rectangle. Then keep one triangle in place and translate the other triangle to make a parallelogram. Next, reflect this triangle to make a larger triangle. Return the triangle to make a rectangle and repeat the translating and reflecting in another direction. Finally, return the triangle to make a rectangle. Describe the motion of the triangle that would result in a kite. E5.2 Describe the types of possible pairs of congruent triangles that would combine to make the follow quadrilaterals: • A square: a quadrilateral with 4 equal side lengths and 4 – 90 degree angles • A rectangle: a quadrilateral with 4 – 90 degree angles • A kite: a quadrilateral two pairs of adjacent sides that are equal, with no parallel lines. • A parallelogram: a quadrilateral with two sets of parallel sides http://regentsprep.org/Regents/math/quad/LQuad.htm