Geometry
Reporting Category: Triangles
Assessment 3
Name___________________
Date____________________
Answers
21.___A___
26.___C___
22.__C___
27.__B___
23.___B___
28.___A___
24.__B___
29.__C___
25.__B___
30.__C___
21. Which of the following inequalities is correct?
(6x – 14)°
p
q
(5x + 8)°
(3x + 4)°
t
A
B
C
D
q>t>p
p>t>q
t>p>q
t>q>p
22. The lengths of two sides of the triangle are known.
5
13
Which of the following could be the perimeter of the triangle?
A
22
B
26
C
28
D
36
23. One side of a triangle has a length of 5x – 2. A longer side has a length of
6x + 7. If t represents the length of the third side, which of the following is true?
A
x + 5 < t < 11x + 5
B
x + 9 < t < 11x + 5
C
5x – 2 < t < 6x + 7
D
5x + 7 < t < 6x – 2
Geometry
Reporting Category: Triangles
Assessment 3
AB BC
, which of the

XY YZ
following would be sufficient to prove the triangles are similar?
A
A  X
B
B  Y
C
C  Z
D
X  Y
24. If ΔABC and ΔXYZ are two triangles such that
25.
In the figure below, C is the midpoint of AE .
B
E
C
D
A
Which additional piece of information is needed to prove ΔABC  ΔDEC?
A
AC  CD
AB || DE
B
C
 BCA   ECD
AB  DE
D
26.
In the figure below, AB and CD are perpendicular.
What is the perimeter of ΔABC?
A
13
B
40
C
42
D
84
Geometry
Reporting Category: Triangles
Assessment 3
27. In the figure below, n is a whole number. What is the smallest possible value
for n?
A
B
C
D
28.
14
8
7
1
A new pipeline is being constructed to re-route its oil flow around the exterior of a
national wildlife preserve. The plan showing the old route and the new route is
shown in the diagram.
About how many extra miles will the oil flow once the new route is established?
A
24
B
68
C
92
D
160
Geometry
Reporting Category: Triangles
29.
Assessment 3
Right triangle ABC is shown below.
Which equation gives the correct value for BC?
BC
A
sin 32° =
8.2
30.
B
cos 32° =
BC
10.6
C
tan 58° =
8.2
BC
D
sin 58° =
BC
10.6
What is the value of h in the figure?
3
h
45°
A
B
C
D
3
2
3
2
3 2
2
3 2