Polygons
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Equilateral triangle.Also a square.Also a regular pentagon.Also any regular polygon of any number of sides.A shape with equal sides and angles is a called a regularshape.[But there are also other shapes, such as a rhombus, which has equal sides but is not a regular polygon because it does not have equal angles. There is no collective name for such "squashed" polygons".]
A 6 sided hexagon has 6 angles that add up to 720 degrees
squares and rectangles.
A vertex is a corner where two sides meet. With flat shapes like triangles and octagons they are often called angles. An octagon has 8 vertices, and 8 sides.
Any regular shapes have equal sides, including squares and equilateral triangles. Irregular shapes can also have equal sides, but not equal angles.