2.3 Segment and Angle Addition.notebook
2.3 Segment and Angle Addition
I CAN...
Identify and apply the segment addition postulate.
September 09, 2015
Segment Addition Postulate
If point M is between points P and Q, then PM + MQ = PQ
P
Q
M
Identify and apply the angle addition postulate.
Jul 11­10:27 AM
Jul 11­10:27 AM
20
P 5 M
8
Q
PQ = Jul 11­10:27 AM
Solve for the variable and BC if B is between A and C.
AB = 4x, BC = 5x, AC = 16
Jul 11­10:27 AM
P
M
16
Q
PM = Jul 11­10:27 AM
Solve for the variable and AB if B is between A and C.
AB = 3a, AC = 5a – 4, BC = 14
Jul 11­10:27 AM
1
2.3 Segment and Angle Addition.notebook
September 09, 2015
Angle Addition Postulate
If point E is in the interior of ABC, then m ABE+m EBC=m ABC
A
B
E
m ABC
E
A
52
31
C
B
C
Jul 11­10:27 AM
If m EBC=27 and m ABC=91
what is m ABE?
Jul 11­10:27 AM
If point E is in the interior of ABC, and m ABE=2x ­ 5, m ABC=8x ­ 4, m EBC=25 , solve for x and the measure of all three angles. A
E
B
C
Jul 11­10:27 AM
Jul 11­10:27 AM
2