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EXERCISES
For more exercises, see Extra Practice.
Practice and Problem Solving
A
Practice by Example
Judging by appearance, classify each triangle by its sides and angles.
1–3. See left.
Example 1
(page 470)
Example 2
(page 471)
1.
2.
Name the types of quadrilaterals that have the given property.
4. four congruent sides
5. exactly one pair of parallel sides
6. two pairs of parallel sides
7. opposite sides congruent
square, rhombus
6–9. See below left.
8. four congruent angles
Example 3
(page 472)
3.
trapezoid
9. opposite angles congruent
Algebra
Write and use a formula for the perimeter of each figure.
Use the formula to find the perimeter.
10. an equilateral triangle with one side 3.5 cm P
11. a square with one side 12.5 in.
12. a regular hexagon with one side 58 in.
13. Architecture The Pentagon is a pentagonal-shaped building near
Washington, D.C., that is home to the United States Department of
Defense. Write a formula for the perimeter of a regular pentagon
in terms of the length of a side. Evaluate the formula to find the
perimeter of the Pentagon, which has a side length of 921 ft.
B
P
Apply Your Skills
5x
Open-Ended Sketch each figure.
14. an isosceles right triangle
15. a scalene obtuse triangle
16. an isosceles obtuse triangle
17. an isosceles acute triangle
18. a scalene right triangle
19. an equilateral triangle
20. Judging by appearance at the left, classify the triangle suggested
by the edges of the piano, the piano lid, and the prop.
21. Draw a parallelogram without a right angle but with four congruent
sides. What is another name for this figure?
Find the perimeter of each figure.
22. an isosceles triangle with congruent sides of 16.2 cm and a third
side half that length
23. a scalene triangle with two side lengths of 8 in. and 5 in., and a
third side length that is the average of the other two side lengths
Name the types of quadrilaterals that do not have the given property.
24. four congruent sides
25. four 90° angles
s
9-3
Classifying Polygons
473-474
C
Challenge
Name three different figures in each flag. For each triangle, state the
type of triangle.
26.
27.
Flag of Philippines
Flag of Antigua
triangl
Writing in Math
Are all equilateral
triangles isosceles? Are
all isosceles triangles
equilateral? Explain.
See back of book.
The lengths of two sides of an isosceles triangle are given. What is the
perimeter? Explain.
28. 10 cm, 12 cm
29. 5 cm, 12 cm
30. 12 cm, 12 cm
31. a. Algebra A decagon is a polygon with 10 sides. Write a
formula for the perimeter of a regular decagon. P 10x
b. Find the perimeter of a regular decagon with sides of 14.5 m.
c. Find the length of a side of a regular decagon that has a b. 145 m
perimeter of 22 ft.
Test Prep
Multiple Choice
Take It to the NET
Online lesson quiz at
www.PHSchool.com
Web Code: ada-0903
Short Response
32. What is the perimeter of a regular pentagon with a side length
of 4.9 cm?
A. 4.9 cm
B. 14.7 cm
C. 24.5 cm
D. 29.4 cm
33. What is the perimeter of a square that has a side length of 34 ft?
3 ft
F. 16
G. 34 ft
H. 3 ft
34. Is a square a rhombus? Explain your answer.
I. 4 ft
35. Is a square a rectangle? Explain your answer.
Mixed Review
Lesson 9-2
36. A transversal intersects two parallel lines, forming eight angles.
One angle measures 608. Sketch a diagram showing the measures
of all eight angles.
Lesson 8-7
37. Parades A town parade included modern and antique cycles. The
modern cycles had two wheels and the antique cycles had three
wheels. Altogether there were 64 wheels on the 28 cycles. How
many of the cycles had three wheels?
Lessons 7-2 and 7-5
Solve each equation.
38. x + 20 + 2x = 41
473-474
Chapter 9 Spatial Thinking
39. 53 - 6x = 13 - 2x