Download Aim 4: Midpoints, Segment Bisectors, and Angle Bisectors and more Exams Geometry in PDF only on Docsity!
Name _____________________________________ Date _____________ Geometry
Aim 4: Midpoints, Segment Bisectors, and Angle Bisectors
Task 1: Splitting a breadstick
You and your partner are hungry and only have one breadstick.
How will you split your breadstick?
How will you know if you did a good job splitting up your breadstick?
Task 2: Cutting a big piece of pie
You and your partner are still hungry and have one piece of pie to share.
How will you split your piece of pie?
How will you know if you did a good job splitting up your piece of pie?
The following terms have a lot to do with our previous activity. Thinking about the words, your
experience, the activity, and using the internet, do your best to define these terms!
Midpoint ____________________________________________________________________
Segment Bisector ______________________________________________________________
Angle Bisector ________________________________________________________________
Watch the video (QR Code) on these definitions followed by some example problems!
Word Definition Picture
Midpoint
Segment
Bisector
Angle
Bisector
M is the midpoint of CD. If CM 5 , find MD and CD.
M is the midpoint of CD. If CM 3 x 2 and MD 2 x 5 , find CD.
CD bisects AB at M. If AM 5 x 4 , AB 14 x , and CM 2 x , find
a) MB
b) MD
AB bisects CD at M. If CM = x + 5, MD = 3x – 13, and AM = x – 4, find AM.
If BD bisects ABC and m ABD 30 , what is m ABC?
If RK bisects ORD , m KRD 5 x 4 , m ORK 7 x 14 , what is m ORD?
In the diagram at right, AB || CD , GH bisects CGJ , and m EJB 50. Find m GHJ.
If CGD bisects EGB , m DGB 3 x 10 ,
and m EGB 5 x , find
a) m CGF
b) m AGE
- On AB , C is the midpoint of AB and D is the midpoint of AC. If AD 2 x 1 and DB 4 x 3 , find CB.
A
B
C
D
E
F
G
