Worksheet Answers Chapter6
Name
Class
6-1
Date
Additional Vocabulary Support
The Polygon Angle-Sum Theorems
Use a word from the list below to complete each sentence. concave convex
equiangular polygon
equilateral polygon
exterior angle
interior angle
regular polygon concave 1. A polygon that has an interior angle greater than 1808 is a
polygon.
convex
2. A polygon that has no interior angles greater than 1808 is a
polygon.
3. A hexagon in which all angles measure 1208 is an example of an equiangular polygon.
4. An octagon in which all angles measure 1358 and all sides are 6 cm long is an example of a regular polygon .
5. An angle inside a polygon is an
interior angle
.
Circle the term that applies to the diagram.
6.
equiangular
equilateral
regular
7.
equiangular
equilateral
regular
8.
equiangular
equilateral
regular
Multiple Choice
9. What type of angle is the angle labeled x8? B
acute
interior
exterior
straight
60
x
10. Which figure is equiangular and equilateral? I
circle
rectangle
rhombus
Prentice Hall Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
1
square
Name
6-1
Class
Date
Think About a Plan
The Polygon Angle-Sum Theorems
Reasoning Your friend says she has another way to find the sum of the angle measures of a polygon. She picks a point inside the polygon, draws a segment to each vertex, and counts the number of triangles. She multiplies the total by 180, and then subtracts 360 from the product. Does her method work? Explain.
Understanding the Problem
1. According to the Polygon Angle-Sum Theorem, what is the relationship
between the number of sides of a polygon and the sum of the measures of the interior angles of a polygon?
The sum is always 180 times two less than the number of sides.
2. How can you write this relationship as an expression in which n is the number of sides? (n 2 2)180
Planning the Solution
3. Mark a point near the center of each figure. Then draw a
Class
6-1
Date
Additional Vocabulary Support
The Polygon Angle-Sum Theorems
Use a word from the list below to complete each sentence. concave convex
equiangular polygon
equilateral polygon
exterior angle
interior angle
regular polygon concave 1. A polygon that has an interior angle greater than 1808 is a
polygon.
convex
2. A polygon that has no interior angles greater than 1808 is a
polygon.
3. A hexagon in which all angles measure 1208 is an example of an equiangular polygon.
4. An octagon in which all angles measure 1358 and all sides are 6 cm long is an example of a regular polygon .
5. An angle inside a polygon is an
interior angle
.
Circle the term that applies to the diagram.
6.
equiangular
equilateral
regular
7.
equiangular
equilateral
regular
8.
equiangular
equilateral
regular
Multiple Choice
9. What type of angle is the angle labeled x8? B
acute
interior
exterior
straight
60
x
10. Which figure is equiangular and equilateral? I
circle
rectangle
rhombus
Prentice Hall Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
1
square
Name
6-1
Class
Date
Think About a Plan
The Polygon Angle-Sum Theorems
Reasoning Your friend says she has another way to find the sum of the angle measures of a polygon. She picks a point inside the polygon, draws a segment to each vertex, and counts the number of triangles. She multiplies the total by 180, and then subtracts 360 from the product. Does her method work? Explain.
Understanding the Problem
1. According to the Polygon Angle-Sum Theorem, what is the relationship
between the number of sides of a polygon and the sum of the measures of the interior angles of a polygon?
The sum is always 180 times two less than the number of sides.
2. How can you write this relationship as an expression in which n is the number of sides? (n 2 2)180
Planning the Solution
3. Mark a point near the center of each figure. Then draw a