Ellipse a) cross section parallel to the base of a cone
circle b) diagonal cross section of a cylinder
sphere c) diagonal cross section through the widest part of a sphere
great circle d) shape created when a semi-circle is rotated around the y-axis
triangle e) perpendicular cross section of a cone
match the following

Ellipse Diagonal cross section of a cylinder.

Circle  Cross section parallel to the base of a cone.

Sphere  Shape created when a semi-circle is rotated around the y-axis.

Great circle Diagonal cross section through the widest part of a sphere.

Triangle  Perpendicular cross section of a cone

Ellipse--

It is the plane curve which is obtained when we take a diagonal cross section of the cylinder.

Circle--

We know that when the cross-section of a solid is taken parallel to it's base then the figure so obtained is similar to the base of the solid.

Now we know that the base of a solid is in the shape of a circle.

Hence, when the slicing is done parallel  to the base of a cone then we obtain a circle.

Sphere--

A sphere is obtained when we rotate a semi-circle about any line or any axis.

Great Circle--

A great circle is obtained when a plane cuts the sphere diagonally i.e. through it's center.

Triangle--

We know that when a cross section is taken perpendicular to the base of a cone then the cross-section so obtained is a figure similar to the face of a solid.

Hence, the cross-section will be a triangle.

figure c

step-by-step explanation:

hope this .