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
Related questions
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Need assistance with 15
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OBJECTIVE B
A
B
In Exercises 14 to 17, triangles ABC and DEF are similar.
14. Find the perimeter of triangle ABC.
E
CHAPTER 12
C 4 m
5 m
с
15 cm
A
6 m
B D
GEOMETRY
F
16. Find the area of triangle ABC.
F
To solve application problems
8 m
20 cm
40 cm
D
E
15. Find the perimeter of triangle DEF.
F
Critical Thinking
Are all squares similar? Are all rectangles similar?
Explain. Use a drawing in your explanation.
Figure ABC is a right triangle, and DE is parallel to AB.
What is the perimeter of the trapezoid ABED?
5 cm
A
A
6
C
17. Find the area of triangle DEF.
F
B
6 cm B
A
C
8 m
18.
Determine whether the statement is always true, sometimes true, or never true.
a. If two angles of one triangle are equal to two angles of a second triangle, then the
triangles are similar triangles.
b. Two isosceles triangles are similar triangles.
c. Two equilateral triangles are similar triangles.
d. The ratio of the perimeters of two similar triangles is the same as the ratio of cor-
responding sides of the two triangles.
4 m
E
B
D
-10
D
D
8
5-
C
12 cm
16 cm
7 m
rojects or Group Activities
he distances, such as the distance across a river or the distance to the top of a pole,
be measured indirectly by using similar triangles.
Find the distance PR across the river.
E
E
22. How can you determine the height of th
using a mirror placed at X? If XB
8 ft.
-"
Transcribed Image Text:576
OBJECTIVE B
A
B
In Exercises 14 to 17, triangles ABC and DEF are similar.
14. Find the perimeter of triangle ABC.
E
CHAPTER 12
C 4 m
5 m
с
15 cm
A
6 m
B D
GEOMETRY
F
16. Find the area of triangle ABC.
F
To solve application problems
8 m
20 cm
40 cm
D
E
15. Find the perimeter of triangle DEF.
F
Critical Thinking
Are all squares similar? Are all rectangles similar?
Explain. Use a drawing in your explanation.
Figure ABC is a right triangle, and DE is parallel to AB.
What is the perimeter of the trapezoid ABED?
5 cm
A
A
6
C
17. Find the area of triangle DEF.
F
B
6 cm B
A
C
8 m
18.
Determine whether the statement is always true, sometimes true, or never true.
a. If two angles of one triangle are equal to two angles of a second triangle, then the
triangles are similar triangles.
b. Two isosceles triangles are similar triangles.
c. Two equilateral triangles are similar triangles.
d. The ratio of the perimeters of two similar triangles is the same as the ratio of cor-
responding sides of the two triangles.
4 m
E
B
D
-10
D
D
8
5-
C
12 cm
16 cm
7 m
rojects or Group Activities
he distances, such as the distance across a river or the distance to the top of a pole,
be measured indirectly by using similar triangles.
Find the distance PR across the river.
E
E
22. How can you determine the height of th
using a mirror placed at X? If XB
8 ft.
-
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