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SSG 2.4: Segment and Angle Bisectors

Total questions: 13

Worksheet time: 1hrs 5mins

Name
Class
Date
1.
Find the value of x. 
a)
x=47
b)
x=19
c)
x=33
d)
x= -47
2.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
3.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
4.
a)
RM=6, MS=6
b)
RM=3, MS=3
c)
RM=3, MS=6
d)
RM=6, MS=3
5.
a)
MQ=4, PQ=8
b)
MQ=4, PQ=4
c)
MQ=8, PQ=4
d)
MQ=8, PQ=8
6.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
7.
This point divides a line segment into 2 equal parts.
a)
point
b)
vertex
c)
midpoint
d)
angle
8.
Given that C is between A and B, which Segment Addition statement is correct?
a)
AC + AB = CB
b)
AC + CB = AB
c)
AB + BC = AC
d)
CA + CB = CA
9.
RS is the segment bisector.  If OQ = 32 and PO = 4x, what does x equal?
a)
8
b)
28
c)
128
d)
36
10.
a)
m∠GHK=26, m∠KHJ=26
b)
m∠GHK=26, m∠KHJ=52
c)
m∠GHK=52, m∠KHJ=52
d)
m∠GHK=52, m∠KHJ=26
11.

AND find the measure of ∠ABD

a)

x=3/17 ∠ABD = 27°

b)

x=9 ∠ABD = 81°

c)

x=3 ∠ABD = 27°

d)

x= -3 ∠ABD = -27°

12.

 EJ \overrightarrow{EJ}\   bisects  DEF\angle DEF  mDEJ=5x+7m\angle DEJ=5x+7  ,  mJEF=8x8m\angle JEF=8x-8 .
Find x.

a)

5

b)

2

c)

6

d)

13

13.

 BD\overrightarrow{BD}  bisects ABC\angle ABC  mABD=3x+5m\angle ABD=3x+5  and  mABC=2x+30m\angle ABC=2x+30 . Find  mDBCm\angle DBC  . 

a)

 15°15\degree  

b)

 35°35\degree  

c)

 5°5\degree  

d)

 20°20\degree