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What is a polyhedron in which one face can be any polygon and the lateral faces are triangles that meet at a common vertex?
A pyramid has a polygonal base with all other sides being triangles. As the Egyptians famously demonstrated, a common pyramid has a square base with four triangles meeting at a vertex, but any polygon - regular or irregular - can be used as the base of such a polyhedron.
What are the shapes that have 3 sides and 3 vertices?
The shapes that have 3 sides and 3 vertices are called triangles. Triangles are classified based on the lengths of their sides and the measures of their angles. The three most common types of triangles are equilateral triangles (all sides and angles are equal), isosceles triangles (two sides and two angles are equal), and scalene triangles (all sides and angles are different).
Are some isosceles triangles equilateral triangles?
All isosceles triangles are not equilateral triangles
How can you classify triangles by their angles?
Triangles may be right triangles equilateral triangles acute or obtuse triangles
Two right triangles that are not similar still may have one congruent acute angle in common?
Not so. The two acute angles of a right triangle must add up to 90 degrees.So if the triangles have one congruent acute angle in common, they must alsohave the other acute angle in common, and then they're similar.
