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Geometry
Name
_________________________________________
MIDTERM EXAM REVIEW – UNIT 5 RELATIONSHIPS
IN
Period __________
TRIANGLES
Important Note: This study guide is a just a sample of the concepts and
applications covered in the unit. You are responsible for all of the material covered
in class notes, homework, activities, reviews, and quizzes. Be sure to review all
resources that are available to you including the online vocabulary and reviews from
your textbook.
I.
Write ALWAYS, SOMETIMES, or NEVER to complete each statement.
1)
The side opposite an 80 is ____________________ longer than the side opposite
a 50 angle.
2)
The third side of a triangle is ____________________ equal to the sum of the
other two sides.
II.
1)
Write the correct answer for each question on the line provided.
Which of the following could not be the measure of the third side of a
triangle that has two sides that measure 27 and 43 units?
A)
2)
B)
31
C)
44
D)
76
In LUV, LU = 16, UV = 11, and LV = 7. The largest angle is
A)
III.
1)
26
L
B)
U
C)
V
_______
_______
D)
E
Complete the following questions. Write your answers on the lines provided.
Is it possible for a triangle to have sides with the following lengths? Write Yes or
No on the line provided.
a)
6, 13, 19
KD/MPH/KAL/CR 12/14
__________
b)
25, 8, 21
__________
1
Geometry
2)
If two sides of a triangle measure 39 and 24 units, then the measure of the third
side is between __________ and __________ units.
3)
The angles in RED are mR = 48 and D = 65. List
the sides in order from shortest to longest.
4)
SUN has a perimeter of 54 units and SU = 3x + 5,
UN = 4x - 10, and SN = 3x - 1. Find x and list the
angles in order from least to greatest.
5)
x = ____________
______________
R
Using the figure shown, answer the following questions.
a)
Name the longest segment in ROS. __________
b)
Name the shortest segment in RES. __________
c)
IV.
______________
Name the shortest segment in the figure. __________
42°
E
55°
51°
56°
S
Find the missing measures for each of the following triangles.
1)
2)
3
10
6
KD/MPH/KAL/CR 12/14
2
O
Geometry
V.
Given that a triangle has the given side lengths, classify the triangle as
acute, obtuse, or right.
1)
12, 19, 14
2)
8, 7, 2 5
3)
9, 40, 41
4)
8, 12, 20
VI.
GEO has vertices G (-2, 1), E (1, 5), and O (5, 2). Classify the
triangle by its sides and angles.
KD/MPH/KAL/CR 12/14
3