What is the shape of the cross section taken perpendicular to the base of a cylinder?Group of answer choicesCircleRectangleEllipseTriangle

1. Break Down the Problem

To determine the shape of the cross section taken perpendicular to the base of a cylinder, we need to visualize the cylinder and understand what it means to take a cross section. A cylinder has two circular bases and a curved side that connects them.

2. Relevant Concepts

When we take a cross section of an object, we are essentially making a cut through the object. For a right circular cylinder, if the cut is made perpendicular to the bases, the intersection of the cut with the cylinder's surface will reflect the shape of the base.

3. Analysis and Detail

• A cylinder consists of vertical and horizontal components. The bases, which are circles, play a crucial role in determining the shape of the cross section.
• By making a cut that is oriented perpendicular to the base, we intersect the circular base and pass through the height of the cylinder. This means the cross section will mimic the geometry of the base.

4. Verify and Summarize

Since the base of a cylinder is a circle, a perpendicular cut through the cylinder will yield a circular cross section. No other shapes are formed by this specific orientation of the cut. Thus, the only valid shape from the options provided is a circle.

Final Answer

The shape of the cross section taken perpendicular to the base of a cylinder is a Circle.