The coordinates A(0, 0), B(0, 5) and C(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.
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`The coordinates A(0, 0), B(0, 5) and C(3, 0) are graphed and connected together` what 2D shape is formed?
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why not plot them and find out? go ahead and give it a shot
@jim_thompson5910 A triangle?
yes because there are only 3 points that are plotted and connected so there are 3 sides of the shape and there is only one shape with 3 sides
What about when it's rotated?
cam you post a pic of it when it is plotted
I didn't have any kind of graph paper, I just used my imagination.
it would still be a triangle
Yes you'll have a triangle. If you rotated that triangle around the y axis, you'll get a 3D cone. It might be hard to imagine, so grab a piece of paper, cut out a triangle, then spin the triangle around its axis.