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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In the solid on page 406, the base is a regular hexagon.

a) Name the vertex (apex) of the pyramid.

b) Name the base edges of the pyramid.

c) Assuming the lateral edges are congruent, are the lateral faces also congruent?

d) Assuming the lateral edges are congruent, is the solid a regular hexagonal pyramid?

Chapter 9.2, Problem 6E, In the solid on page 406, the base is a regular hexagon. a Name the vertex apex of the pyramid. b

To determine

(a)

To name:

The vertex in the given figure.

Explanation

Given:

The figure given below

and base is a regular hexagon.

Properties Used:

A pyramid is made by connecting a base to an apex or vertex. The base is flat with straight edges, no curves, hence, a polygon and all other faces are triangles. The altitude/height of the pyramid is the line segment from the vertex perpendicular to the plane of the base.

To determine

(b)

To name:

The base edges in the given figure.

To determine

(c)

To find:

Whether the lateral faces are congruent in the given figure.

To determine

(d)

To find:

Whether the given figure is a regular hexagonal pyramid.

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