Question

what is the shape of the cross section of the cone in each situation? drag and drop the answer into the box to match each situation. cone is sliced so the cross section is parallel to the base. cone is sliced so the cross section is perpendicular to the base and passes through the vertex. circle triangle rectangle parabola

Explanation:

Step1: Analyze parallel slice

A slice parallel to the cone's circular base produces a smaller circle.

Step2: Analyze perpendicular slice through vertex

A slice perpendicular to the base passing through the vertex forms a triangle with two sides as cone edges and one side as the base diameter.

Answer:

Cone is sliced so the cross section is parallel to the base: circle
Cone is sliced so the cross section is perpendicular to the base and passes through the vertex: triangle