Question

which shape will result from taking a cross section of the cylinder through the points shown?

circle
triangle
pentagon
rectangle

Explanation:

Identify the plane of the cross section

The four points shown lie on the boundaries of the cylinder: two on the top circular base (at opposite ends of a diameter) and two on the bottom circular base (directly below the top points). A plane passing through these four points is vertical and perpendicular to the bases.

Determine the shape of the intersection

A vertical plane cutting through a cylinder from the top base to the bottom base creates a flat, two-dimensional intersection bounded by two parallel vertical line segments (along the curved surface of the cylinder) and two parallel horizontal line segments (across the top and bottom bases). This shape is a rectangle.

Answer:

• circle
• triangle
• pentagon
• rectangle (Correct answer)