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Why can all five sides figures be made from three triangles?
Because the sum of the sides of three triangles is nine... Placing three triangles together so they all touch effectively removes four of the total number of sides - leaving five.
What three-dimensional figure can be made from four equilateral triangles?
A regular tetrahedron
What strategies are there to find the surface area of three-dimensional shapes made from rectangles and triangles?
Find the areas of the rectangles and triangles. Add them together.
Are triangles equilateral?
Some triangles are equilateral, but not all of them. There are three types of triangles. Triangles which have three equal sides and three equal angles are called equilateral triangles. Isosceles triangles have two equal sides and two equal angles. Scalene triangles have no equal sides and no equal angles.
How do you write a congruence statement for a pair of triangles?
Conventionally you use the symbol that looks like an "equals" sign but consists of three lines. It is the same symbol as is used for identities. ABC ≡ PQR
