2-7 Proving Segment Relationships
Segment Addition Postulate
If A, B, and C are collinear
then B is between A and C
C
if AB + BC = AC
B
A
Oct 12­1:46 PM
Oct 11­8:43 AM
1
Oct 11­7:53 AM
Oct 11­9:16 AM
2
D
Given: AB ≅ CD
Prove: AC ≅ BD
C
B
A
Oct 12­1:52 PM
Given: C is the midpoint of AE and BD
Prove: AB = DE
A
B
c
D
E
Oct 12­2:02 PM
3
A
B
Given: C is midpoint of AE and BD
AE ≅ BD
C
D
Prove: AC ≅ CD
E
Oct 11­8:47 AM
Given: WX = YZ
Prove: WY = XZ
W
X
Y
Z
A
Given: BD = CE, DA = EA
Prove: BA = CA
E
D
C
B
Given: B is midpoint of AC and C is midpoint of BD
Prove: AB ≅ CD
D
C
B
A
Oct 12­11:23 AM
4
A
Given: BD = CE, DA = EA
Prove: BA = CA
D
E
C
B
Oct 15­7:45 AM
Given: B is midpoint of AC and C is midpoint of BD
Prove: AB ≅ CD
D
C
B
A
Oct 15­10:00 AM
5