Lesson Objective:
Students will use midsegments to solve problems.
Midsegment Theorem:
The midsegment is _________________ to a side and is _________
as long as that side.
Example 1:
Find DF and AB.
In ∆ADF, if a midsegment was drawn opposite DF, what would
its length be?
Example 2:
a)
b)
1
Example 3:
Given: QS = SP, PT = TR
Prove:
Statements
Reasons
1) QS = SP, PT = TR
1) Given
2)
2)
3)
3)
4)
4)
2
Your Turn :D
DE is a midsegment of ∆ABC. Find the value of x.
B
#1
32
D
x
C
E
A
#2
B
D
x
8
A
C
E
B
#3
D
C
A
17
E
x
Use ∆GHJ where A, B, and C are midpoints of the sides.
#4. If AB = 3x + 8, and GJ = 2x + 24,
what is AB?
H
B
A
#5. If AC = 3y - 5 and HJ = 4y + 2,
what is HB?
G
C
J
3