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Mathematics 23 Online
Aaleighacruz1:

The coordinates A(0, 0), B(0, 4), C(3, 4) and D(3, 0) are graphed and connected together. What 3-dimensional shape will be created when this shape is rotated about the y-axis? Provide an explanation and proof for your answer to receive full credit. (10 points)

AZ:

Plot the points |dw:1617938643165:dw|

AZ:

What do you get if you rotate it around the y-axis?

Aaleighacruz1:

idk

AZ:

if you can't figure it out, take a rectangle piece of paper and just spin it around what shape does it form?

Aaleighacruz1:

a diamond

AZ:

no . . . a diamond has a completely different shape??

Aaleighacruz1:

then idk. i dont have a piece of paper

AZ:

Like if you're rotating it, it would start to look like this what do you get if you complete it

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Aaleighacruz1:

idk what shape that is

AZ:

it's not done rotating keep rotating it...

AZ:

it has a circular base

AZ:

Do you see it

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AZ:

|dw:1617939285964:dw|

Aaleighacruz1:

A square?

Aaleighacruz1:

wait a circle?

AZ:

is a square or a circle a 3D shape?

Aaleighacruz1:

i dont see it then

AZ:

look at the images again until you see it or you need to review your shapes again

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Aaleighacruz1:

which shape?

AZ:

the shape that gets formed by rotating a rectangle

Aaleighacruz1:

its not a square?

AZ:

`What 3-dimensional shape will be created when this shape is rotated about the y-axis?` 3-DIMENSIONAL

AZ:

is a SQUARE a 3-DIMENSIONAL shape?!?!?!?!??

Aaleighacruz1:

A triangle...

AZ:

a triangle is not a 3-D shape it is a two dimensional shape These are 2 dimensional shapes

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AZ:

These are 3 dimensional shapes

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AZ:

3 dimensional shapes are shapes that you know, you can hold They're 3D 2 dimensional shapes are shapes that are flat that you can draw

Aaleighacruz1:

rombus

AZ:

go learn your shapes and then tell me what shape this is

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Aaleighacruz1:

damn rude much

AZ:

I can't help you more if you don't know what shape it is. Ask your parents, they probably know. I understand not being able to visualize how it gets rotated around the y-axis and what shape it forms. But at this point, I've literally given you the answer. You just need to be able to recognize your shapes.

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