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Salsk061 [2.6K]
3 years ago
5

Match the term with the definition. . . -perpendicular cross section of a pyramid. -perpendicular cross section of a cylinder. -

parallel cross section of a sphere. -shape created when a rectangle is rotated about the y-axis. -shape created when a right triangle is rotated about the y-axis. . 1. circle. 2. cylinder. 3. triangle. 4. cone. 5. ellipse.
Mathematics
2 answers:
NeX [460]3 years ago
7 0
The correct match for the terms are:

1. circle  --parallel cross section of a sphere
2. cylinder -shape created when a rectangle is rotated about the y-axis
3. triangle  -perpendicular cross section of a pyramid
4. cone - -shape created when a right triangle is rotated about the y-axis.<span>
5. ellipse - </span><span>-perpendicular cross section of a cylinder</span>
My name is Ann [436]3 years ago
5 0
The <u>correct answers</u> are:

<u>Perpendicular cross-section of a pyramid is a triangle</u>.
<u>Perpendicular cross-section of an oblique cylinder is an ellipse.</u>
<u>Parallel cross-section of a sphere is a circle.</u>
<u>When a rectangle is rotated about the y-axis, a cylinder is formed.</u>
<u>When a right triangle is rotated about the y-axis, a cone is formed.</u>

Explanation:

Cutting a <u>cross-section of a pyramid</u> perpendicular to the base would form a triangle.  Your "slice" would go from the apex of the pyramid straight to the base.  Where the cut goes through the slanted faces of the pyramid would form the slanted sides of the triangle.  Where the cut goes through the base of the pyramid would make the base of the triangle.

Cutting a <u>cross-section of an oblique (non-right) cylinder</u> would form an ellipse (oval).  Since the cylinder is not right, it is slanted.  This means going perpendicular to the base of the cylinder would not go straight (horizontally) through the cylinder; instead it slants, which "stretches" the cross-section, forming an ellipse.

Any <u>cross-section of a sphere</u> is a circle, since a sphere is perfectly round with no base.

When <u>rotating a rectangle</u> about the y-axis, imagine rotating a piece of paper.  The shape formed by doing this would "bend" the rectangle around the axis, forming a cylindrical shape.

When <u>rotating a triangle</u> about the y-axis, we can imagine the same situation we did with the rectangle; the difference is that the triangle goes in a point, which means this new figure will be as well.  This would make it a cone rather than a cylinder.
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