IM Geo.5.2 Practice: Slicing Solids

Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.

Imagine an upright cone with its base resting on your horizontal desk. Sketch the cross section formed by intersecting each plane with the cone.

Name 2 figures for which a circle can be a cross section.

A regular hexagon and a regular octagon are both inscribed in the same circle. Which of these statements is true?

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A
The perimeter of the hexagon is less than the perimeter of the octagon, and each perimeter is less than the circumference of the circle.
B
The perimeter of the octagon is less than the perimeter of the hexagon, and each perimeter is less than the circumference of the circle.
C
The perimeter of the hexagon is greater than the perimeter of the octagon, and each perimeter is greater than the circumference of the circle.
D
The perimeter of the octagon is greater than the perimeter of the hexagon, and each perimeter is greater than the circumference of the circle.