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A cylinder would seem to fit the given description.
A cone would fit the given description because it has a pointed vertex and a circular base.
To draw a shape with five angles, start by drawing a straight line segment as the base. From one end of the base, draw a diagonal line connecting to a point opposite the base. Repeat this step twice, connecting the other end of the base to the remaining two points opposite the base. Finally, connect the remaining open sides of the shape with straight lines to form five angles.
cusp
Is the "shape of a house" like a child's silhouette of a house? A horizontal base with vertical uprights at each end, and a roof consisting of two sloped lines. That is a pentagon and it is not a rigid shape. The only polygon that is rigid is a triangle.