Name: ______Date: ______
Chapter 7 Practice Test BLM 7PT
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Name ______Date ______
Selected Response
Select the best answer.
1. Which of the following is a concave octagon?
A B
C D
2. Which Schlafli notation correctly describes this tessellation?
A {4,4,6}
B {4,8,8}
C {4,6,6}
D {4,4,8}
3. Which statement is never true?
A Archimedean solids have faces that are more than one kind of regular polygon.
B Archimedean solids do not have vertex regularity.
C Archimedean solids are truncated Platonic solids.
D Archimedean solids are also called semi-regular polyhedra.
Short Response
Provide a complete solution.
4. Use pattern blocks to show how you can construct each polygon. Draw diagrams to illustrate your answers.
a) an equilateral triangle using three pieces (show two ways)
b) an equilateral triangle using four pieces
5. a) Is this tessellation regular or semi-regular? Explain how you know.
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b) What types of polygons and how many of each of them surround any point where vertices meet?
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c) Describe the tessellation using Schlafli notation.
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Extended Response
Provide a complete solution.
6. Suppose you truncate the corners of a regular octahedron, while maintaining vertex regularity.
a) What is the name of the polyhedron that results?
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b) What types of polygons are the faces? How many of each are there?
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c) Build the polyhedron using Polydron® pieces.
d) Classify this as a Platonic solid, an Archimedean solid, or neither. Justify your answer.
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e) What is the Schlafli notation for this polyhedron?
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CopyrightÓ 2007 McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.