WorksheetsBisect Segment
Total questions: 15
Worksheet time: 15mins
In the figure IG = 18. What is the length of IJ?
(a)
B is the midpoint of AC. Find AB.
2
16
8
4
Find the value of x.
x=47
x=19
x=33
x= -47
If B is the midpoint of AC, then AB ≅ BC.
Definition of Congruent Segments
Definition of Midpoint
Vertical Angles Theorem
Definition of Angle Bisector
If B is the midpoint of RL, then RB=BL
Definition of congruent segments
Segment addition postulate
Given
Definition of midpoint
If DA bisects IE, then
ID=ED
IA=EA
<IDA=<EDA
<IAD and <EAD are right angles
Given: B is the midpoint of AC. What should you conclude?
AB + BC = AC
AB = BC
A is the segment bisector of BC
ABC is a straight angle
If L is the midpoint of TJ, what must be true?
TL=JT
JL=TJ
TL=LJ
T is also the midpoint of JL
What is the justification (reason)?
reflexive property
definition of segment bisect
definition of a midpoint
substitution property
If B is the midpoint of segment AC, then AB = BC.
Definition of Congruent Segments
Definition of Midpoint
Vertical Angles Theorem
Definition of Angle Bisector
It divides or bisects a segment into two congruent segments; the point in the middle of the segment.
point
midpoint
line
bisector
BD bisects ∠ABC , m∠ABD=3x+5 and m∠ABC=2x+30 . Find m∠DBC .
15°
35°
5°
20°
m
6
11
13
23
bisects \angle ABC. Solve for x and find m
x = 5; m
x = 15; m\angle ABC=48\degree
x = 11; m
x = 12; m\angle ABC=112\degree
What is the value of x?
10.667
11.333
42
10
