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Geometry Lesson 6.1-6.3

Total questions: 80

Worksheet time: 2hrs 23mins

Name
Class
Date
1.
Find LK
a)
3
b)
5
c)
-3
d)
6
2.
Find PQ
a)
10
b)
3
c)
-2
d)
5
3.
Find AD AND BC
a)
5;12
b)
16;4
c)
12; 16
d)
5;16
4.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
5.
A line, segment, or ray that divides an angle in half
a)
Perpendicular bisector
b)
Vertical angles
c)
Angle bisector
d)
Midsegment
6.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
7.
A line, segment, or ray that passes through the midpoint of a side that is creates a 90 degree angle with that side.
a)
Perpendicular bisector
b)
Angle bisector
c)
Median
d)
Altitude
8.
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
9.
Name the dashed segment:
a)
altitude
b)
median
c)
angle bisector
d)
perpendicular bisector
10.
Name the dashed segment:
a)
altitude
b)
angle bisector
c)
perpendicular bisector
d)
median
11.
Name the dashed segment:
a)
altitude
b)
angle bisector
c)
perpendicular bisector
d)
median
12.

Find the value of x.

a)

1/2

b)

1

c)

2

d)

Cannot be determined.

13.

Find the value of x.

a)

807\frac{80}{7}

b)

107\frac{10}{7}

c)

5

d)

Cannot be determined.

14.

Find the value of x.

a)

84

b)

1.5

c)

6

d)

Cannot be determined.

15.

Find the value of m.

a)

57.67

b)

 73\frac{7}{3}  

c)

7

d)

Cannot be determined.

16.

Find the value of r.

a)

6

b)

 913\frac{9}{13}  

c)

3

d)

Cannot be determined.

17.
Find HG
a)
28
b)
14
c)
41
d)
7
18.
a)

JM = 5

b)

JM = 10

c)

JM = 12

d)

JM = 24

19.

Solve for the value of x.

a)

x = 10

b)

x = 20

c)

x = 3

d)

x = 45

20.
a)

QR = 4

b)

QR = 20

c)

QR = 11

d)

QR = 5

21.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
22.
What is the intersection of three perpendicular bisectors called?
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
23.
D is the circumcenter, find ED
a)
15
b)
16
c)
17
d)
19
24.
D is the circumcenter, find DG
a)
15
b)
16
c)
17
d)
19
25.
Define: CIRCUMCENTER OF A TRAINGLE
a)
the intersection point 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 
26.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
27.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
28.
The circumcenter is located outside the triangle.
a)
Sometimes
b)
Always
c)
Never
29.
3 or more lines that intersect at the same point
a)
Concurrent Lines
b)
Congruent Lines
c)
Perpendicular Lines
d)
Parallel Lines
30.

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

a)

3

b)

5

c)

4

d)

6

31.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
A. vertices
b)
B. sides
c)
C. center
d)
D. midsegment
32.
Where is the circumcenter on a  obtuse triangle?
a)
Outside
b)
Inside
c)
mid point of hypotenuse
d)
at the vertex with the right angle
33.
The circumcenter is always inside the triangle.
a)
true
b)
false
34.

GT is a Median: find FE

a)

16

b)

32

c)

11

d)

26

35.

GT is a median: Find GF

a)

18.6

b)

11.1

c)

12.6

d)

14

36.

KL is a Median: Find LJ

a)

6

b)

5

c)

3

d)

9

37.
Which of the following describes a median of a triangle?
a)
A. A middle of the triangle.
b)
B. A segment with endpoints at the vertex and midpoint of the opposite side.
c)
C. A segment that connects two midpoints of two sides.
d)
D. A segment that connects the vertex and the opposite side at 90 degrees. 
38.

Given segment AM is a median in ΔABC. Find the length of segment BC.

a)

34

b)

6

c)

17

d)

27

39.
The altitude is __________to the side of a triangle.
a)
parallel
b)
skew
c)
off
d)
perpendicular
40.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

41.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

42.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
Find the length of YZ.
a)
30
b)
15
c)
5
d)
7.5
43.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If PB = 3, then YB = _______
a)
6
b)
9
c)
1.5
d)
3
44.

What is the point of concurrency for the median of a triangle?

a)

circumcenter

b)

centroid

c)

incenter

d)

orthocenter

45.
The altitudes of a triangle intersect at the _________________________.
a)
Centriod
b)
Circumcenter
c)
Incenter
d)
Orthocenter
46.
Fill in the blank.
All three medians intersect at the point of concurrency called the ____________.
a)
Incenter
b)
Circumcenter
c)
Orthocenter
d)
Centroid
47.

In ΔXYZ, YB, XC, and ZA are medians.

If YC= 10, then ZC = _______

a)

15

b)

5

c)

20

d)

10

48.
Which of the following words describes the point shown in the figure?
a)
Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Altitude-point
49.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If XP = 8, then PC = _______
a)
2.7
b)
12
c)
5
d)
4
50.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
51.
Which of the following describes a perpendicular bisector of a triangle?
a)
A segment that is perpendicular to the side of a triangle at its midpoint.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees. 
52.

The point where all three altitudes of a triangle intersect is known as the (a)   .

53.
Fill in the blank.
All three medians intersect at the point of concurrency called the ____________.
a)
Incenter
b)
Circumcenter
c)
Orthocenter
d)
Centroid
54.
HK is an altitude in ΔGHI.
What is the measure of ∠HKG?
a)
60°
b)
180°
c)
90°
d)
360°
55.

What is the point of concurrency of the perpendicular bisectors of a triangle?

a)

Circumcenter

b)

incenter

c)

orthocenter

d)

centroid

56.

What is the point of concurrency for the median of a triangle?

a)

circumcenter

b)

centroid

c)

incenter

d)

orthocenter

57.

These types of lines do NOT have to go through the vertex?

a)

altitudes

b)

median

c)

angle bisectors

d)

perpendicular bisectors

58.

Name of the segment of a triangle drawn from any vertex to the midpoint of the opposite side?

a)

altitude

b)

perpendicular bisector

c)

median

d)

midsegment

59.

A segment drawn from the vertex perpendicular to the opposite side is called a....

a)

median

b)

perpendicular bisector

c)

altitude

d)

angle bisector

60.
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
61.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
62.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
63.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
64.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
a)
20
b)
10
c)
5
d)
Not Enough Information
65.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

66.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
67.

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

a)

obtuse

b)

acute

c)

iscolese

d)

right

68.

PQ is the perpendicular bisector of MN. What is QN?

a)

7

b)

14

c)

10.5

d)

28

69.

What is Point of Concurrency?

a)

In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side

b)

Three or more lines that intersect at a common point.

c)

The point of intersection of concurrent lines

d)

The point of concurrency of the perpendicular bisectors of a triangle.

e)

The point of concurrency of the angle bisectors of a triangle.

70.

What type of lines have a point equidistant from the vertices of a triangle?

a)

altitudes

b)

angle bisectors

c)

median

d)

perpendicular bisectors

71.

What type of lines create a point 2/3 the distance from the vertex and 1/3 from the side?

a)

median

b)

perpendicular bisector

c)

altitude

d)

angle bisector

72.

A segment from the vertex of a triangle to the opp. side that splits the angle into 2 equal angles.

a)

incenter

b)

angle bisector

c)

perpendicular bisector

d)

circumcenter

73.

What type of lines are shown

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

74.

What type of lines are shown?

a)

perpendicular bisector

b)

angle bisectors

c)

altitudes

d)

medians

75.

What type of lines are shown?

a)

perpendicular bisectors

b)

angle bisectors

c)

altitudes

d)

medians

76.

Which line is an angle bisector?

a)

XY

b)

BY

c)

AZ

d)

XC

77.

Which line is a perpendicular bisector?

a)

XY

b)

BY

c)

AZ

d)

XC

78.

Which two types of lines only meet inside the triangle?

a)

Perpendicular bisectors and angle bisectors

b)

medians and altitudes

c)

medians and angle bisectors

d)

perpendicular bisectors and altitudes

79.

For an obtuse triangle, the altitudes meet where?

a)

inside the triangle

b)

outside the triangle

c)

on the triangle

d)

the incenter

80.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ

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