The shapes of the horizontal cross-sections of the cylinder below are all congruent.A.TrueB.False
Question
The shapes of the horizontal cross-sections of the cylinder below are all congruent.
A. True
B. False
Solution
The statement is True.
Explanation:
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Definition of a Cylinder: A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface at a fixed distance from the center of the circles.
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Horizontal Cross-Sections: When you take a horizontal cross-section of a cylinder, the resulting shape is a circle.
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Congruent Shapes: Since all horizontal slices or cross-sections are circles located at various heights of the cylinder, and these circles have the same radius, they are congruent.
Thus, all horizontal cross-sections of a cylinder are indeed congruent, confirming that the answer is A. True.
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