The picture shows you how...
http://etc.usf.edu/clipart/38600/38659/trimid_38659_lg.gif
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An isosceles triangle
Yes. An equilateral triangle can be symmetrical because cut it straight down the middle and it will be symmertrical.
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Obviously!! That is when you cut the equilateral triangle into two with the help of a line running from the top part of the triangle and stands perpendicular to the base of the triangle.
A hexagon is a six-sided figure. Cut an equilateral triangle out of a piece of paper. Chop off little equilateral triangles at each tip of the triangle. What you have is a hexagonal piece of paper. Draw around it.