Question

identify cross sections of solids
score: 3.75/5 penalty: 0.25 off
question
select the type of cross section formed when a right cone is cut by a plane containing its altitude and perpendicular to its base.
answer
pentagon
triangle
circle
rectangle

Explanation:

Step1: Analyze the properties of a right cone

A right cone has a circular base and a pointed apex.

Step2: Consider the plane cutting the cone

The plane contains the altitude (the perpendicular line from the apex to the base center) and is perpendicular to the base.

Step3: Visualize the cross - section

When such a plane cuts the cone, the cross - section formed has three sides. One side is the altitude of the cone, and the other two sides are the slant heights of the cone from the apex to the points where the plane intersects the base. So, it is a triangle.

Answer:

B. triangle