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Contact [7]
3 years ago
8

A prism whose base is a 9-sided polygon is intersected by a plane. In which case could the cross section be a 10-sided polygon?

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
8 0

D.when the plane makes a narrow angle with the base

Vikki [24]3 years ago
5 0
The <u>correct answer</u> is:

D) <span>when the plane makes a narrow angle with the base.

Explanation:

If a cross section of a prism is taken <u>parallel</u> to the base, the cross section will be the <u>same shape</u> as the base.  In this case, it will be a 9 sided polygon.

If a cross section of a prism is taken <u>perpendicular</u> to the base, the cross section will be a <u>rectangle</u>, no matter how many edges the cross section goes through.

The only way to get a cross section with more sides than the original figure is to take a slant cross section, or one with an angle other than 90</span>° or 180° to the base.  This makes D our only option.
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