Question

Help .? Medal & fan.

Jon started with a diagram like the one below and drew a three-dimensional figure by rotating the circle 360 about line m.

Nadia started with a diagram like the one below and drew a three-dimensional figure by rotating the right triangle ABC 360 about line m.

(a)Name the three-dimensional figure created by each person.

Answer 1

(b)Nadia remarked that her figure has an infinite number of planes of symmetry. Jon gave a sly grin and
remarked that his figure has an infinite number plus one! After explaining the difference between his
figure’s planes of symmetry and hers, Jon convinces Nadia that his figure does have one more than
hers. How might Jon have explained this?

Answer 2

circule rotated is torus,and triangle rotated is cone

Answer 3

the "one" more comes from the midpoint of torus, since torus is symmertical top and bottom but cone is not

Answer 4

For the one where you have to name each figure the person created? Cause I put that Jon created a circle and Nadia created a Kite

Answer 5

read the question again!

Answer 6

It says 3D figure!

Answer 7

so the 2D figure leves the plane of paper, rotating 360 to land on ti again

Answer 8

Ohhh I see it now

Answer 9

In this way the figure created by circle is torus and triangle is cone

Answer 10

So for the second part on explaining why Jon said convince Nadai about that his figure does have one more than hers is because his is a circle?

Answer 11

JOn says his figure is symmertical top and bottom so the midpane of torus is plane of symmetry. Since cone dont have this property, it is not

Answer 12

Ahhh I see that, thank you!

Answer 13

however, "one more" is mistaken here, both have an INFINITE planes of symmetry so they are same,