2.3GeoH Segment and Angle Addition.notebook

2.3GeoH Segment and Angle Addition.notebook
2.3 Segment and Angle Addition
September 09, 2015
Segment Addition Postulate
If point M is between points P and Q, then PM + MQ = PQ
I CAN...
Identify and apply the segment addition postulate.
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
2.3GeoH Segment and Angle Addition.notebook
Angle Addition Postulate
If point E is in the interior of ABC, then m ABE+m EBC=m ABC
A
September 09, 2015
If point E is in the interior of ABC, m ABE = 2x ­ 5, m ABC = 8x ­ 4, m EBC = 25 , solve for x and the measure of all three angles. E
B
C
Jul 11­10:27 AM
Jul 11­10:27 AM
If point E is in the interior of ABC, m ABE = x2 ­ 6, m EBC = ­5x ­ 4, m ABC = 14 , solve for x and the measure of all three angles. Jul 11­10:27 AM
2