Question

in each figure below, a plane passes through a geometric solid as shown. for each figure, choose the shape of the cross - section formed.

Explanation:

(a)

Step1: Analyze the prism

A rectangular prism (the solid in part (a)). When a plane cuts through it in the given orientation, the cross - section is a rectangle.

(b)

Step1: Analyze the pyramid

A triangular pyramid (the solid in part (b)). When a plane cuts through it in the given orientation, the cross - section is a triangle.

(c)

Step1: Analyze the cylinder

A cylinder (the solid in part (c)). When a plane cuts through it parallel to the bases, the cross - section is a circle.

Answer:

(a) Rectangle; (b) Triangle; (c) Circle