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The shapes of the horizontal cross sections of the cylinder below are all congruent True or False

The shapes of the horizontal cross sections of the cylinder below are all congruent-example-1

2 Answers

3 votes

Answer:

True

Explanation:

The horizontal cross sections are orthogonal (perpendicular) projections of the base. Then they are parallel to their bases and congruent. Check some below, the "slices" (circles) with the same radius and circumferences.

True

P.S.

There are some misconceptions due to the ambiguity of the comprehension of cylinder x cylindrical surface.

In College Geometry this definition of a cylinder is enlarged, and the cylinder gains a new definition which redefines it as a section of a cone with a infinite height. But a cylinder does not have an apex. Cone and pyramids do. A cylinder has an axis.

The shapes of the horizontal cross sections of the cylinder below are all congruent-example-1
The shapes of the horizontal cross sections of the cylinder below are all congruent-example-2
The shapes of the horizontal cross sections of the cylinder below are all congruent-example-3
The shapes of the horizontal cross sections of the cylinder below are all congruent-example-4
User Jclova
by
6.5k points
5 votes

Answer:

Option A True

Explanation:

we know that

The shapes of the horizontal cross-sections of the cylinder in the figure are circles congruent with the circle at the base and at the top of the cylinder.

User Michael Schmitz
by
6.5k points