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Review 5.1

Total questions: 71

Worksheet time: 7hrs 28mins

Name
Class
Date
1.

OQ \overrightarrow{OQ}\  is the perpendicular bisector of  MP\overline{MP} . Find x. 

a)

1

b)

4

c)

3

d)

2

2.

mCED=96m\angle CED=96 . Find  m1m\angle1  

a)

96

b)

48

c)

192

d)

45

3.

Find x if m2=4+7xm\angle2=-4+7x  and  mHFG=11x+10m\angle HFG=11x+10  


a)

76

b)

50

c)

-3.5

d)

6

4.

Find x and the length of each segment.

a)

x=5.3 WY=16.2 WZ=16.2

b)

x=9 WY=20 WZ=20

c)

x=5 WY=16 WZ=16

d)

x=8 WY=27, WZ=27

5.

Find x if m2=4x3m\angle2=4x-3  and  m1=3x+5m\angle1=3x+5  


a)

2

b)

2/7

c)

8

d)

4

6.

MO \overline{MO}\ is the perpendicular bisector of  LN\overline{LN} and LO=8. What is ON?  

a)

16

b)

8

c)

4

d)

12

7.

If m2=14x2m\angle2=14x-2  and  m1=13x+2m\angle1=13x+2  . Find  m1m\angle1  


a)

54

b)

4

c)

6.6

d)

90

8.

If m is the perpendicular bisector of AB, find x.

a)

8

b)

2

c)

6

d)

10

9.

Find x. m is the perpendicular bisector of AB.

a)

34

b)

17

c)

46

d)

27

10.

Find x, so that mnm\parallel n  

a)

13

b)

17

c)

43

d)

72

11.
Find PQ
a)
10
b)
3
c)
-2
d)
5
12.
Find AD AND BC
a)
5;12
b)
16;4
c)
12; 16
d)
5;16
13.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
14.
Find x, then the measure of AC
a)
x=2, AC=8
b)
x=2, AC=16
c)
x=4, AC=8
d)
x=4, AC=16
15.

Find GH.

a)

4.6

b)

3.6

c)

9.2

d)

7.2

16.

What is the value of x in order to find the length of VU\overline{VU}  

a)

2

b)

24

c)

-2

d)

16

17.

What is the measure of VU\overline{VU}  

a)

2

b)

4.5

c)

16

d)

9

18.

Identify the perpendicular bisector.

a)

TP\overline{TP}

b)

RS\overline{RS}

c)

TR\overline{TR}

d)

ST\overline{ST}

19.

Find the value of x

a)

3

b)

6

c)

2.7

d)

5.4

20.
Name the parallel segment.
a)
WY
b)
YX
c)
WX
d)
PN
21.
Name the parallel segment.
a)
CP
b)
CA
c)
CB
d)
AB
22.
Name the parallel segment.
a)
MN
b)
NP
c)
MP
d)
HI
23.
Find the missing length.
a)
9
b)
18
c)
4.5
d)
16
24.
Find the missing length.
a)
12
b)
3
c)
24
d)
6
25.
Find the missing length.
a)
9
b)
4.5
c)
18
d)
36
26.
Find the missing length.
a)
12
b)
6
c)
20
d)
24
27.
Find the missing length.
a)
22
b)
11
c)
44
d)
12
28.
Find the missing length.
a)
x = 12
b)
x = 11
c)
x = 15
d)
x = 9
29.
Find the missing length.
a)
x = 8
b)
x = 11
c)
x = 7
d)
x = 9
30.
Find the missing length.
a)
x = 7
b)
x = 9
c)
x = 4
d)
x = 8
31.
Find the measure of the indicated angle. 
a)
34
b)
46
c)
62
d)
36
32.
a)
x+2.5
b)
2x+5
c)
2x+10
d)
8x+20
33.
Perimeter: add all three sides up of purple triangle
a)
15
b)
23
c)
30
d)
46
34.
If LN = 5, then AC = ______.
a)
5
b)
10
c)
15
d)
25
35.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
angle bisector
36.
a)
1
b)
2
c)
3
d)
4
37.

The point where the 3 perpendicular bisectors of a triangle cross is called the ___?

a)

Midsegment

b)

Incenter

c)

Circumcenter

d)

Centroid

38.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
39.

Identify the center.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

40.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
41.
Point O is the circumcenter of the triangle. Find OB
a)
OB = 4
b)
OB = 6
c)
OB = 5.1
d)
Not enough information
42.
This triangle has...
a)
Altitudes
b)
Perpendicular Bisectors 
c)
Midsegments
d)
Medians
43.

Based on the markings, which segment represents a perpendicular bisector?

a)

Segment BA

b)

Segment CF

c)

Segment DE

d)

segment BG

44.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

45.

If AF = 10x-3, and FC = 8x+3, what is AC?

a)

3

b)

6

c)

27

d)

54

46.

If BC is 18, what is DC?

a)

6

b)

9

c)

12

d)

18

47.

[Perpendicular Bisectors and Circumcenter]

If GC is 11, what is AG?

a)

11

b)

9

c)

cannot determine

d)

5.5

48.

[Perpendicular Bisectors and Circumcenter]

If CG = 4x+3 and AG = 3x+4, what is BG?

a)

14

b)

3

c)

7

d)

3.5

49.

[Perpendicular Bisectors and Circumcenter]
If AE is 5 and AG is 12, approximately what is GE?

a)
9.9
b)

11

c)
10.1
d)
8
50.

Define: CIRCUMCENTER OF A TRIANGLE

a)

the point of intersection of the three perpendicular bisectors of a triangle

b)

when a circle passes through the three vertices of a triangle

c)

the point of intersection of three or more lines

d)

the intersection point of the three angle bisectors of a triangle

51.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
52.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
53.

Point Z is the circumcenter of ΔRST. What is TZ?

a)

3

b)

5

c)

4

d)

6

54.

Point P is the circumcenter. Which segment is congruent to PB?

a)

DA

b)

AC

c)

PC

d)

PF

55.

Use the Perp Bisector Theorem to find the length of AD

a)

2

b)

4

c)

6

d)

8

56.
D is the circumcenter, find ED
a)
15
b)
16
c)
17
d)
19
57.
D is the circumcenter, find EH
a)
15
b)
16
c)
17
d)
19
58.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
59.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
60.
Point O is the circumcenter of the triangle. Find OB
a)
OB = 4
b)
OB = 6
c)
OB = 5.1
d)
Not enough information
61.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
62.
If m∠CAP = 34° , find ∠CAB.
a)
17°
b)
34°
c)
68°
d)
90°
63.

1. If m<LJK = 28°, what is m<MLK?

a)

56

b)

112

c)

62

d)

124

64.
The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?
a)
Midsegment
b)
Incenter
c)
Circumcenter
d)
Centriod
65.

The point of concurrency made by 3 angle bisectors is known as the

a)

orthocenter

b)

centroid

c)

circumcenter

d)

incenter

66.

The same distance from two or more objects.

a)

concurrent

b)

point of concurency

c)

equidistant

d)

midpoint

67.

A segment joining two sides of a triangle at the midpoints.

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

68.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Centroid
d)
Orthocenter
69.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
70.

The circumcenter is the point at which all the _____ of a triangle meet.

a)

medians

b)

altitudes

c)

perpendicular bisectors

d)

angle bisectors

71.

The incenter is the point at which all the ____ of a triangle meet.

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors