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:

Step1: Analyze Figure (a)

When a plane cuts a cone parallel to its base, the cross - section is a circle.

Step2: Analyze Figure (b)

For the given pyramid - like solid, the plane cuts through four sides. The cross - section has one pair of parallel sides (the top and bottom of the cross - section) and the other two sides are non - parallel, so it is a trapezoid.

Step3: Analyze Figure (c)

When a plane cuts a cylinder perpendicular to its base and parallel to its axis, the cross - section is a rectangle. The two opposite sides are equal and parallel (corresponding to the height of the cylinder and the diameter of the base).

Answer:

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