Download Math SCO E5

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ikemath/movies/quadrilateral1.ht
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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