Question

determine which statements are true regarding the given solid. check all that apply. the three - dimensional solid is a hexagonal pyramid. the three - dimensional solid is a hexagonal prism. the solid can be created by stacking the same - size hexagons vertically. the solid can be created by stacking dilated hexagons vertically. point d is the apex of the pyramid

Explanation:

Step1: Identify the solid type

A hexagonal pyramid has a hexagonal base and triangular faces that meet at a single - point (apex). A hexagonal prism has two parallel hexagonal bases and rectangular lateral faces. The given solid has a hexagonal base (FGHI) and triangular faces meeting at point D, so it is a hexagonal pyramid.

Step2: Analyze stacking methods

Stacking the same - size hexagons vertically creates a prism. Stacking dilated hexagons vertically can create a pyramid - like shape.

Step3: Locate the apex

The apex of a pyramid is the point where all the triangular faces meet. Point D is that point for the given solid.

Answer:

The three - dimensional solid is a hexagonal pyramid.
The solid can be created by stacking dilated hexagons vertically.
Point D is the apex of the pyramid.