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Geometry B
Unit 4B Review
Name
Date
Period
If you are stuck on a problem, go back and look in your notes for assistance.
1) Write the sides of triangle ABC in order from shortest to longest. (Lesson 1)
2) Write the angles of triangle FGH in order from smallest to largest. (Lesson 1)
3) Prove or disprove whether the triangle can have the given side lengths. If so, determine whether the
triangle is acute, right, or obtuse. (Lesson 1)
a. 5, 8, 10
b. 25, 60, 65
c. 2, 3, 6
4) A triangle has two side lengths of 4.5 cm and 13.5 cm. The length of the third side must be greater
than
cm and less than
cm. (Lesson 1)
5) Solve for x. (Lesson 2)
a.
y
7

9
3
b.
2
4

x  3 x 1
x
. (Lesson 2)

y
7) Write three proportions that cross-multiply to 2 12  6  4 . (Lesson 2)
6) Given that 2x  5 y after cross-multiplication, the ratio
8) Complete each definition. (Lesson 3)
Two polygons are similar if and only if they have the same
same
.
Two polygons are similar if and only if the corresponding angles are
corresponding sides are
.
but not necessarily the
and the
9) Name the similarity transformations. (Lesson 3)
10) The sides of a pentagon are in the ratio 3 : 6 : 9 : 10 : 12 . If the perimeter of the pentagon is 580
inches, what is the length of each side? (Lesson 2)
11) In a package of Jolly Ranchers candy, the ratio of cherry : watermelon : blue raspberry : grape is
6 : 5 : 3 : 7 . If the bag in Mrs. Gerrish’s desk has 285 jolly ranchers, how many grape-flavored jollies
are in there? (Lesson 2)
12) Alana has a photograph that is 5 inches long and 3.5 inches wide. She enlarges it so its length is 8
inches. What is the width of the enlarged photograph? (Lesson 2)
13) To find the height of a flagpole, Casey measured her own shadow and the flagpole’s shadow. Given
that Casey is 5ft 4in, what is the height of the flagpole? (Lesson 2)
14) Determine whether the polygons are similar. If so, write the similarity statement and the similarity
ratio. Also, write the corresponding angles and corresponding sides. (Lesson 3)
C
7
B
140°
A
F
4.7
3
3.1
4
2
87°
87°
10.7
a)
D
H
6.5
E
4
A
67
H 16.75 G
C
70°
70°
33.5
33.5
33.5
B
67
33.5
70°
70°
b)
G
140°
D
E 16.75 F
15) Explain why the triangles are similar and complete the similarity statement. Be sure to state the
theorem and the evidence that supports your theorem. (Lesson 4)
a) ROP ___________
b) TUV
___________
16) Is AB CD ? Verify your answer with work
and a theorem. (Lesson 5)
17) In the diagram BC DE . Find CE and state
the theorem that justifies your answer.
(Lesson 5)
18) An artist drew a picture of railroad tracks
19) Use the Triangle Angle Bisector Theorem to
find SU and SV. (Lesson 5)
such that the ties EF , GH , and JK are
parallel. Find FH and state the theorem that
justifies your answer. (Lesson 5)
20) In the diagram, ABC
JKL . (Lesson 6)
a) The scale factor from ABC to JKL is
b) Find the perimeter of JKL .
K
B
.
12
18
P = 28 ft
A = 18 ft
c) Find the area of
JKL .
2
A
C
J
21) In the diagram, DE
a) EC =
L
B
AC . Find the following. (Lesson 4,5)
8
b) BC =
c) AC =
D
7
4
E
2
A
C