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1. VOCABULARY Explain what is meant by the term n-gon. 2. * WRITING Imagine that you can tie a string tightly around a polygon. If the polygon is convex, will the length of the string be equal to the distance around the polygon? What if the polygon is concave? Explain. IDENTIFYING POLYGONS Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave. 3. 5. 6. 7. * MULTIPLE CHOICE Which of the figures is a concave polygon? (B)

1. VOCABULARY Explain what is meant by the term n-gon. 2. * WRITING Imagine that you can tie a string tightly around a polygon. If the polygon is convex, will the length of the string be equal to the distance around the polygon? What if the polygon is concave? Explain. IDENTIFYING POLYGONS Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave. 3. 5. 6. 7. * MULTIPLE CHOICE Which of the figures is a concave polygon? (B)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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EXAMPLE 3 Find side lengths READ VOCABULARY .............. .. Hexagonal means "shaped like a hexagon." xy ALGEBRA A table is shaped like a regular hexagon. The expressions shown represent side lengths of the hexagonal table. Find the length of a side. (3x + 6) in. Solution (4х — 2) in First, write and solve an equation to find the value of x. Use the fact that the sides of a regular hexagon are congruent. 3x + 6 = 4x – 2 Write equation. 6 = x – 2 Subtract 3x from each side. 8 = x Add 2 to each side. Then find a side length. Evaluate one of the expressions when x = 8. 3x + 6 = 3(8) + 6 = 30 • The length of a side of the table is 30 inches. GUIDED PRACTICE for Example 3 3. The expressions 8y° and (9y – 15)° represent the measures of two of the angles in the table in Example 3. Find the measure of an angle. 1.6 EXERCISES HOMEWORK KEY = See WORKED-OUT SOLUTIONS Exs. 13, 19, and 33 * = STANDARDIZED TEST PRACTICE Exs. 2, 7, 37, 39, and 40 SKILL PRACTICE 1. VOCABULARY Explain what is meant by the term n-gon. 2. * WRITING Imagine that you can tie a string tightly around a polygon. If the polygon is convex, will the length of the string be equal to the distance around the polygon? What if the polygon is concave? Explain. IDENTIFYING POLYGONS Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave. EXAMPLE 1 **............ for Exs. 3-7 3. 4. 5. 6. 7. * MULTIPLE CHOICE Which of the figures is a concave polygon? © D 44 Chapter 1 Essentials of Geometry
Transcribed Image Text:EXAMPLE 3 Find side lengths READ VOCABULARY .............. .. Hexagonal means "shaped like a hexagon." xy ALGEBRA A table is shaped like a regular hexagon. The expressions shown represent side lengths of the hexagonal table. Find the length of a side. (3x + 6) in. Solution (4х — 2) in First, write and solve an equation to find the value of x. Use the fact that the sides of a regular hexagon are congruent. 3x + 6 = 4x – 2 Write equation. 6 = x – 2 Subtract 3x from each side. 8 = x Add 2 to each side. Then find a side length. Evaluate one of the expressions when x = 8. 3x + 6 = 3(8) + 6 = 30 • The length of a side of the table is 30 inches. GUIDED PRACTICE for Example 3 3. The expressions 8y° and (9y – 15)° represent the measures of two of the angles in the table in Example 3. Find the measure of an angle. 1.6 EXERCISES HOMEWORK KEY = See WORKED-OUT SOLUTIONS Exs. 13, 19, and 33 * = STANDARDIZED TEST PRACTICE Exs. 2, 7, 37, 39, and 40 SKILL PRACTICE 1. VOCABULARY Explain what is meant by the term n-gon. 2. * WRITING Imagine that you can tie a string tightly around a polygon. If the polygon is convex, will the length of the string be equal to the distance around the polygon? What if the polygon is concave? Explain. IDENTIFYING POLYGONS Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave. EXAMPLE 1 **............ for Exs. 3-7 3. 4. 5. 6. 7. * MULTIPLE CHOICE Which of the figures is a concave polygon? © D 44 Chapter 1 Essentials of Geometry
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