Question

ight cylinder with its base resting on your horizontal desk. match each plane with the image of the cross section formed by intersecting the plane with the cylinder.
a. parallel to the base of the cylinder
pendicular to the base of the cylinder and passing through the center
n angle to the base of the cylinder, but not passing through the center.

Explanation:

• When a plane is parallel to the base of a cylinder, the cross - section is a circle. This is because the base of a cylinder is a circle, and a parallel plane will cut the cylinder in the same shape as the base.
• When a plane is perpendicular to the base of the cylinder and passes through the center, the cross - section is a rectangle. The height of the rectangle is the height of the cylinder, and the width is the diameter of the base.
• When a plane is at an angle to the base of the cylinder (but not passing through the center), the cross - section is an ellipse.

Answer:

A. Parallel to the base of the cylinder - Figure 2
Perpendicular to the base of the cylinder and passing through the center - Figure 1
At an angle to the base of the cylinder, but not passing through the center - Figure 3