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Median, Altitude, and Bisectors Quiz

Total questions: 18

Worksheet time: 45mins

Name
Class
Date
1.

Which of the following segments represents a median?

a)

BZ

b)

AZ

c)

AC

d)

BX

2.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
3.

Which option shows the exterior (outside) altitude of the triangle?

a)
b)
c)
4.

What ray is the angle bisector of ∠AOC\angle AOC  ?


a)

 OB→\overrightarrow{OB}  

b)

 OC→\overrightarrow{OC}  

c)

 BO→\overrightarrow{BO}  

d)

 OA→\overrightarrow{OA}  

5.

Identify the perpendicular bisector.

a)

TP‾\overline{TP}

b)

RS‾\overline{RS}

c)

TR‾\overline{TR}

d)

ST‾\overline{ST}

6.
HK is an altitude in ΔGHI.
What is the measure of ∠HKG?
a)
60°
b)
180°
c)
90°
d)
360°
7.
HK is an altitude in ΔGHI.
Find the value of x.
a)
90
b)
43.5
c)
24
d)
21
8.

In  ∠PON\angle PON  , OP is the altitude of MN. If  ∠PON\angle PON  is 4x - 13 and  ∠ONP\angle ONP  is 2x-5, find the m ∠PON\angle PON  

a)

90

b)

18

c)

59

d)

69

9.

Find AD

a)

11

b)

22

c)

5.5

d)

3.67

10.

GT is the median. If FT is 3x + 8 and TE is 7x - 16, find the value of x

a)

6

b)

24

c)

9.8

d)

48

11.
Given segment AM is a median in ΔABC. Find the length of segment BC.
a)
34
b)
6
c)
17
d)
27
12.

If KM→\overrightarrow{KM}  bisects  ∠LKJ\angle LKJ  and  m∠JKM=22°m\angle JKM=22\degree  find  m∠LKMm\angle LKM  .


a)

22

b)

44

c)

11

d)

68

13.

If KM→\overrightarrow{KM}  bisects  ∠LKJ\angle LKJ  and  m∠JKM=22°m\angle JKM=22\degree  find  m∠LKJm\angle LKJ  .


a)

44

b)

11

c)

22

d)

68

14.

Solve for x.

a)

2

b)

3

c)

4

d)

5

e)

7.4

15.

After finding x, what is value of  ∠ABC\angle ABC  

a)

54

b)

-3

c)

3

d)

27

16.

If  BD→\overrightarrow{BD}  is the perpendicular bisector, what is the measure of  AC‾\overline{AC}  

a)

7

b)

14

17.

 NP→\overrightarrow{NP}  is the perp. bisector. If  ∠NKM\angle NKM  is 9x + 9, find the value of x

a)

9

b)

11

c)

5

18.

 NP→\overrightarrow{NP}  is the perp. bisector. If  ∠NKM\angle NKM  is 6x - 6 and the segment  KM‾\overline{KM}   is 4x - 4, what is the value of  LM‾\overline{LM}  

ʕ •ᴥ•ʔ 

a)

120

b)

16

c)

60

d)

14