Chapter 9.2, Problem 6E

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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?

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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