1. Triangle Midsegment Theorem
6.4

2. A midsegment of a triangle is a segment that joins the midpoints of two sides of the triangle. Every triangle has three midsegments, which form the midsegment triangle.

3. Important

4. Using the Triangle Midsegment Theorem
Find each measure. BD
∆ Midsegment Thm.
Substitute 17 for AE.
BD = 8.5
Simplify.

5. Using the Triangle Midsegment Theorem
Find each measure.
mCBD
∆ Midsegment Thm.
mCBD = mBDF
Alt. Int. s Thm.
mCBD = 26°
Substitute 26° for mBDF.

6. Check It Out! Example 2a
Find each measure. JL
∆ Midsegment Thm.
Substitute 36 for PN and multiply both sides by 2.
2(36) = JL
72 = JL
Simplify.

7. Check It Out! Example 2b
Find each measure. PM
∆ Midsegment Thm.
Substitute 97 for LK.
PM = 48.5
Simplify.

8. Check It Out! Example 2c
Find each measure.
mMLK
∆ Midsegment Thm.
mMLK = mJMP
Similar triangles
mMLK = 102°
Substitute.

9. How would you set up this one?

10. Google Fact of the Day
How many ridges does a quarter have?
119

11. Math Lib!

12. Dr. Bitterman
Mrs. Oldeen
Mr. Bozoian
Coach Simpson
Mr. Gillis

13. eager
scared
shocked
bored
pumped

14. scuba diving
moonwalking
making pies
washing cars
coaching soccer

15. Beyoncé
Peyton Manning
Luke Bryan
Adam Sandler
Katy Perry

16. Groundhog Day
Halloween
April Fool’s Day
the last day of school
Black Friday

17. the Bahamas
New York City
Australia
Mexico
Hollywood

18. the police station
the water park
the boat docks
the courthouse
the movie theater

19. bike helmets
hula skirts
tiaras
wet suits
top hats

20. taking selfies
drinking smoothies
blowing bubbles
roasting marshmallows
lifting weights

21. wanted to raise money
were bored
wanted to get a laugh
wanted to show off
wanted to celebrate

22. (A – Dr. Bitterman) (E – pumped) (B – moonwalking) (D – Adam Sandler)
(D – the last day of school)
(A – the Bahamas) (C – the boat docks) (B – hula skirts) (E – lifting weights)
(D – wanted to show off)

23. Not bad, right?!
Homework
Pg (11-16, 18-26)