Which cross-sectional shape do you find the most surprising? Which shape do you find the least surprising ? Explain why

The circles were the least surprising because the base of the cone is a circle. The curves that look like bent rods were the most surprising, because I have not seen geometric figures like those before.

Step-by-step explanation:

I was surprised to find that when a pyramid with a hexagonal base is cut by a plane at a sharp angle, the cross section has more than 6 sides.

Step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

0,0

step-by-step explanation: