Question

a figure composed of a right cylinder and a right cone is shown.
image of a right cylinder with a right cone on top
blair claims that if the figure is sliced perpendicular to its base through the apex, the resulting cross section will be a rectangle.
blair’s claim is incorrect.
this question has two parts.
part a
which statement best describes why blair’s claim is incorrect?
a a rectangle is only one component of the composite cross section.
b she confused a parallel cross section with a perpendicular cross section.
c the cross section of the figure should be three - dimensional and not two - d...
d she found a perpendicular cross section of the figure that does not go thro apex.
part b

Explanation:

Part A

1. Analyze Option A: The composite figure (cylinder + cone) sliced perpendicular to the base through the apex. The cylinder's cross - section (perpendicular to base) is a rectangle, and the cone's cross - section (perpendicular to base through apex) is a triangle. So the composite cross - section has both a rectangle (from the cylinder) and a triangle (from the cone), so a rectangle is just one component.
2. Analyze Option B: The slice is perpendicular to the base (as per Blair's claim), so there's no confusion between parallel and perpendicular here.
3. Analyze Option C: A cross - section is always two - dimensional, so this is incorrect.
4. Analyze Option D: Blair's slice is through the apex, so this is incorrect.

So the correct statement is that a rectangle is only one component of the composite cross - section.

Answer:

A. A rectangle is only one component of the composite cross section.