Question

identifying cross sections of solids
use the diagram to answer the questions
what two - dimensional figure will be created by a
horizontal cross section?
triangle
rectangle
hexagon
octagon
nensional figure will be created by a
section through the apex?

Explanation:

Step1: Analyze horizontal cross - section

When we take a horizontal cross - section of a pyramid (assuming the base is a hexagon as the options have hexagon), the horizontal cross - section is parallel to the base. If the base is a polygon, a horizontal cross - section parallel to the base will have the same shape as the base.

Step2: Analyze cross - section through the apex

A cross - section through the apex (the top point) and perpendicular to the base (assuming a regular pyramid) will be a triangle. For a pyramid with a polygonal base, a plane passing through the apex and two non - adjacent vertices of the base (or in a general sense for a pyramid, a plane passing through the apex and cutting the base - parallel sides) forms a triangular cross - section.

Answer:

For the horizontal cross - section: hexagon. For the cross - section through the apex: triangle.