Question

question 30 of 50
a pyramid and a cone have similar types of bases.
○ false
○ true

Explanation:

A pyramid's base can be a polygon (e.g., square, triangle), while a cone's base is a circle (a type of curve - based shape, specifically a conic section). However, if we consider the general "type" in terms of being a single - faced base (the base of a pyramid is a polygon, and the base of a cone is a circle; both are planar, closed, and form the base for a three - dimensional shape with a pointed top), but more accurately, a pyramid's base is a polygon (a closed figure with straight sides) and a cone's base is a circle (a closed figure with a curved side). Wait, no—actually, the key is: a pyramid has a polygonal base (e.g., square, triangle, pentagon), and a cone has a circular base. A circle is a special case of a polygon? No, a circle is not a polygon. But, the "type" of base: both are planar, closed, and serve as the base for a solid with a vertex (the apex of the pyramid and the apex of the cone). Wait, no, the question is about "similar types of bases". Let's recall: a pyramid's base is a polygon (any n - sided polygon, n≥3), and a cone's base is a circle. A circle can be thought of as a polygon with an infinite number of sides, but in standard geometric terms, a polygon has straight sides. However, the base of a pyramid (polygon) and the base of a cone (circle) are both closed, planar figures that are the "bottom" of the solid, and the rest of the solid tapers to a point. But actually, the correct reasoning is: A pyramid has a polygonal base (e.g., square, triangle), and a cone has a circular base. A circle is a type of curved - sided closed figure, and a polygon is a straight - sided closed figure. But, the base of a pyramid (polygon) and the base of a cone (circle) are both "bases" that are single, closed, planar figures, and the solids have a single apex. Wait, no, the answer is True? Wait, no—wait, a pyramid's base is a polygon (e.g., square, triangle), and a cone's base is a circle. A circle is a type of curve - based shape, but a polygon is straight - sided. But, the question is about "similar types of bases". Wait, maybe the intended meaning is that both have a single base (unlike a prism or a cylinder which have two bases), and the base is a closed, planar figure. So, a pyramid (one base, polygonal) and a cone (one base, circular) have bases that are both single, closed, planar figures, so their base types are similar in the sense of being a single, closed, planar base for a solid with a pointed top. So the statement is True.

Answer:

True