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Mathematics 12 Online
zarkam21 (zarkam21):

Help please

zarkam21 (zarkam21):

OpenStudy (mathstudent55):

A cone is similar to a pyramid except the base is a circle instead of a polygon.

zarkam21 (zarkam21):

So true

OpenStudy (agent0smith):

Horizontal cross sections: imagine cutting straight through the cone, from left to right - what does the result look like? This is very hard to describe, you have to visualize.

zarkam21 (zarkam21):

Oh false

OpenStudy (agent0smith):

You'll know if it is true or false once you can visualize it This may help https://upload.wikimedia.org/wikibooks/en/thumb/2/21/Plane_intersecting_cone_2.png/200px-Plane_intersecting_cone_2.png

OpenStudy (agent0smith):

Now imagine moving that green square further up, or down - does the red circle remain the same size?

zarkam21 (zarkam21):

Nope the size would change

OpenStudy (agent0smith):

Yes! And "not congruent" means?

zarkam21 (zarkam21):

NOt the same

OpenStudy (agent0smith):

Excellent.

OpenStudy (mathstudent55):

We did a similar problem with a pyramid before. Part of the learning process is to figure out how two problems are similar and applying what you learned about one to the other. We saw before with drawings that the cross sections of a pyramid that are parallel to the base are not congruent. When I stated above that a cone is similar to a pyramid except the base is a circle instead of a polygon, that idea was for you to draw a conclusion based on the similarity between a cone and a pyramid.

zarkam21 (zarkam21):

Okay

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