Which shape could not be the intersection of a cone and a plane?
Question 1 options
rectangle
ellipse
circle
parabola

questions 2 and 3 (has a picture)

Which three-dimensional figure could have a rectangular cross-section?

Question 4 options:
pentagonal pyramid
cylinder
cone
tetrahedron

Claude has a piece of cheese in the shape of a cone. He uses a straight cut to slice off a smaller piece. Which shape could be one of the faces of Claude’s smaller piece of cheese?
Question 5 options:
ellipse
square
pentagon
parallelogram

Question 1

An ellipse, circle and parabola are all possible figures we can make if we intersect a plane and a cone. These are called conic sections.

A rectangle is NOT a conic section and not possible to form it with an intersection of a cone and a plane.

Answer: Choice A) rectangle

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Question 2

The shaded cross section is a parabola. It stretches onward forever as you move down the bottom cone. This plane won't intersect the top cone at all.

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Question 3

Spinning the rectangle around that line will create a flattened cylinder, which is what choice A is showing. Think of a fan blade spinning really fast, or a revolving door.

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Question 4

A pentagonal pyramid has a pentagonal cross section. So that rules out choice A.

A cylinder could have a rectangular cross section if the plane is perpendicular to the base.

Choice C is eliminated since we can only form triangles or circles as cross sections here.

A tetrahedron could have a square cross section, which is a special case of a rectangle, making choice D a possibility as well.

So the answer is either choice B or choice D. If your teacher is excluding squares, then we can eliminate choice D making B as the only answer. Though I'm not 100% sure on this one.

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Question 5

Claude is forming a conic section so he could form an ellipse. The other choices (square, pentagon, parallelogram) are not possible cross sections of a cone.

AFOKE88 AFOKE88 · Answer 2 · 2022-04-14T16:27:41+02:00

The shape that could not be the intersection of a cone and a plane from the given options is; Rectangle

What are the properties of conic sections?

1) Looking at the given options, we can say that ellipse, circle and parabola are all conic sections and as such they are all possible figures that can be made if we intersect a plane and a cone.

However, rectangle is not a conic section.

2) The shaded cross section is a parabola because It stretches onward infinitely as we move down the bottom cone. Thus, the plane would not intersect the top cone.

3) Spinning the rectangle around that line will create a flattened cylinder. Thus, option A is correct.

4) The shape that could be one of the faces of Claude’s smaller piece of cheese is either A cylinder which could have a rectangular cross section if the plane is perpendicular to the base or A tetrahedron could have a square cross section, which is a special case of a rectangle, making choice D a possibility as well.

5) Claude is forming a conic section and so he could form an ellipse.

Read more about three-dimensional figure; https://brainly.com/question/326906