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Optional Practice - Unit 5 Study Guide Part C

Total questions: 90

Worksheet time: 2hrs 41mins

Name
Class
Date
1.
Name the parallel segment.
a)
WY
b)
YX
c)
WX
d)
PN
2.

Find the missing length.

(a)  

3.
Find the missing length.
4.
Find the missing length.
5.
What is the measure of angle Y?
6.
What is the measure of angle a?
7.
How many midsegments does a triangle have?
a)
1
b)

2

c)
3
d)
4
8.
Complete the statement, the midsegment of a triangle is half the length of the ___ ____ to it.
a)
angle oppostie
b)
side perpendicular
c)
side parallel
d)
incenter point
9.
Find x
10.

Which is true about any midsegment in a triangle?

(Select all that apply.)

a)

The midsegment is parallel to its corresponding side.

b)

The midsegment is perpendicular to its corresponding side.

c)

The midsegment is half as long as its corresponding side.

d)

The midsegment connects the midpoints of two sides of a triangle.

e)

The midsegment is twice as long as its corresponding side.

11.
Segment DE is ____________.
a)
an angle bisector
b)
a perpendicular segment
c)
a median
d)
a midsegment 
12.

ONLY TYPE THE NUMBER IN THE BLANK!!!

(a)  

13.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

14.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

15.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

16.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

17.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

altitude

18.

The figure is an example of a(n) ...

a)

angle bisector

b)

altitude

c)

altitude

d)

median

19.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

median

d)

angle bisector

20.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

21.

The place where all three angle bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

22.

The place where all three perpendicular bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

23.

The place where all three medians meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

24.

The place where all three altitudes meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

25.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

26.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

27.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

28.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

29.

Which types of centers are ALWAYS INSIDE the triangle? (Select all that apply)

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

30.

The circumcenter and orthocenter can be outside the triangle if the triangle is ...

a)

obtuse

b)

acute

c)

iscolese

d)

right

31.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

32.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

33.
Point O is the circumcenter of the triangle. Find OB
34.
Find the value of x
35.
[Perpendicular Bisectors and Circumcenter]
If AF is 6, what is AC?
36.
[Angle Bisectors and Incenter]:
If PX is 5, what is PZ?
37.
[Median and Centroid]
If AP = 12, what is AL?
38.
[Medians and Centroid]
If AC = 16, what is AM?
39.
The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
40.
1.  PQ  is the perpendicular bisector of MN. What is QN?
41.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter
42.

The altitudes of a triangle are concurrent. Their common point is the______.

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

43.
Fill in the blank.
Altitudes hit the ground at _______ degrees.
a)
180
b)
90
c)
60
d)
360
44.

The union of three angle bisectors is the

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

45.

This center is created by the union of three perpendicular bisectors

a)

incenter

b)

circumcenter

c)

orthocenter

d)

centroid

46.

The circumcenter is equidistant from each ______________ of the triangle

a)

vertices

b)

sides

c)

median

d)

altitude

47.

Identify the center.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

48.

Identify the center.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

49.

Identify the center.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

50.

Identify the center

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

51.

Point P is the circumcenter, which segment is equal to PB

a)

DA

b)

AC

c)

PC

d)

PF

52.

The ________ of a triangle is the point that is ____________ to the sides of a triangle.

a)

Circumcenter

b)

Equidistant

c)

Incenter

d)

Concurrent

53.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
54.
Find m< JKM
55.
Find the length of AD
56.
Name the dashed segment:
a)
altitude
b)
angle bisector
c)
perpendicular bisector
d)
median
57.
Find SV
58.
Find HG
59.
60.

Find the measure of CP

(a)  

61.

∠WYZ\angle WYZ  Find the measure of

(a)  

62.

Find the measure of QA

(a)  

63.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

64.

Will these line segments form a triangle?

a)

yes

b)

no

65.

Which set of side lengths will form a triangle?

a)

3, 6, 12

b)

7, 7, 14

c)

9, 9, 9

d)

13, 6, 7

66.
Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.
a)
yes
b)
no
67.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
68.

Which of the following does not represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

69.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
70.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
71.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
72.

Order the sides from greatest to least

a)

a , b , c

b)

b , c , a

c)

c , b , a

d)

a , c , b

73.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
74.
Where would the largest angle of a triangle be located?
a)
Across from the longest side.
b)
Across from the shortest side
c)
I need more information to get an answer.
75.
Name the sides from SMALLEST to LARGEST
a)
RS, ST, TR
b)
ST, RT, RS
c)
RT, ST, RS
d)
RT, RS, ST
76.
a)

Neva

b)

Shawn

77.
a)

AB>AC

b)

AB<AC

c)

AB=AC

d)

No conclusion can be made

78.
a)

10.5

b)

15

c)

21

d)

28

79.
a)

Car A

b)

Car B

80.

It is called the HINGE theorem, because...

a)

the vertex of the angle acts like a hinge to open the triangle.

b)

it's named after Joseph Hinge, the man who discovered it.

c)

"hinge" is the Spanish word for angle.

d)

the triangle makes a hinge shape, like a tent.

81.

Which one of these represent SAS?

a)
b)
c)
d)
e)
82.

Which one of these represent SSS?

a)
b)
c)
d)
e)
83.
Using the hinge theorem, we can say that AB _____ DC
a)
Greater than
b)
Less than
c)
Equal to
d)
Half of 
84.

The angle that a person makes as they are sitting changes with the task. The diagram shows the position of a student at his desk. In which position is the angle measure a° at which he is sitting the greatest?

a)
Relaxed
b)
Writing
c)
Typing
d)
Running
85.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

86.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

87.
Is DE parallel to BC?
a)
Yes
b)
No
88.
Is DE 1/2 the length of BC?
a)
Yes
b)
No
89.
Name a midsegment of ⌂ABC
a)
segment AC
b)
segment DE
c)
segment AB
d)
segment BC
90.
Name a segment that has the same length as segment BD
a)
segment BE
b)
segment DE
c)
segment AD
d)
segment AC

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