geometry construction solution
GEOMETRY Construction SOLUTION
Can you have two triangles with the same angles but with different lengths?
1) Cut or tear three narrow strips of paper, making them slightly different lengths.
2) Make them into a triangle and draw around it on some scrap paper.
3) Now fold each of your strips of paper in half, join them up to make a triangle again, and draw around it.
Compare your drawings to investigate what happens to the angles of a triangle when you make it bigger or
smaller—you just need to make sure that you do the same to each side of your triangle.
Does your investigation help you to fill in any of the mystery angles on the design?
hanging the size of the
triangle doesn’t change
the angles.... So each
same angles as this one.
e don’t know
We know these
Making a triangle bigger or smaller doesn’t change the angles of the corners—
providing you change the length of all the sides by the same ratio.
The mountains are basically made out of 4 of
the same triangle in different sizes (one tucks in
the back but the other corners are the same).
56 Chapter 2