EXAMPLE 2 for Exs. 8-14 CLASSIFYING Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning. 9. 1in 1 in. 8. 10. 1 in. 1 in. 1 in. (13. 11. 12. 5m 4 m 14. ERROR ANALYSIS Two students were asked to draw a regular hexagon, as shown below. Describe the error made by each student. Student A Student B * ..

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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can you help me with 8-14 please

EXAMPLE 2
CLASSIFYING Classify the polygon by the number of sides. Tell whether the
polygon is equilateral, equiangular, or regular. Explain your reasoning.
for Exs. 8-14
8.
9.
1 in.
1 in.
10.
1 in.
/1 in.
1 in.
11.
(13.
12.
5 m
4 ml
5 m
14. ERROR ANALYSIS Two students were asked to draw a regular hexagon, as
shown below. Describe the error made by each student.
Student A
Student B
15. O ALGEBRA The lengths (in inches) of two sides of a regular pentagon
are represented by the expressions 5x – 27 and 2x – 6. Find the length
of a side of the pentagon.
EXAMPLE 3
for Exs. 15-17
16. O ALGEBRA The expressions (9x + 5)° and (11x – 25)° represent the
measures of two angles of a regular nonagon. Find the measure of an
angle of the nonagon.
17. O ALGEBRA The expressions 3x - 9 and 23 – 5x represent the lengths
(in feet) of two sides of an equilateral triangle. Find the length of a side.
USING PROPERTIES Tell whether the statement is always, sometimes, or
never true.
18. A triangle is convex.
(19.) A decagon is regular.
20. A regular polygon is equiangular.
21. A circle is a polygon.
22. A polygon is a plane figure.
23. A concave polygon is regular.
DRAWING Draw a figure that fits the description.
24. A triangle that is not regular
25. A concave quadrilateral
26. A pentagon that is equilateral but not equiangular
27. An octagon that is equiangular but not equilateral
ALGEBRA Each figure is a regular polygon. Expressions are given for
two side lengths. Find the value of xr.
28.
29.
x? + 3x
30.
2+2x+ 40
x² + x + 2
-x+ 190
1.6 Classify Polygons
45
.......
Transcribed Image Text:EXAMPLE 2 CLASSIFYING Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning. for Exs. 8-14 8. 9. 1 in. 1 in. 10. 1 in. /1 in. 1 in. 11. (13. 12. 5 m 4 ml 5 m 14. ERROR ANALYSIS Two students were asked to draw a regular hexagon, as shown below. Describe the error made by each student. Student A Student B 15. O ALGEBRA The lengths (in inches) of two sides of a regular pentagon are represented by the expressions 5x – 27 and 2x – 6. Find the length of a side of the pentagon. EXAMPLE 3 for Exs. 15-17 16. O ALGEBRA The expressions (9x + 5)° and (11x – 25)° represent the measures of two angles of a regular nonagon. Find the measure of an angle of the nonagon. 17. O ALGEBRA The expressions 3x - 9 and 23 – 5x represent the lengths (in feet) of two sides of an equilateral triangle. Find the length of a side. USING PROPERTIES Tell whether the statement is always, sometimes, or never true. 18. A triangle is convex. (19.) A decagon is regular. 20. A regular polygon is equiangular. 21. A circle is a polygon. 22. A polygon is a plane figure. 23. A concave polygon is regular. DRAWING Draw a figure that fits the description. 24. A triangle that is not regular 25. A concave quadrilateral 26. A pentagon that is equilateral but not equiangular 27. An octagon that is equiangular but not equilateral ALGEBRA Each figure is a regular polygon. Expressions are given for two side lengths. Find the value of xr. 28. 29. x? + 3x 30. 2+2x+ 40 x² + x + 2 -x+ 190 1.6 Classify Polygons 45 .......
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