Segment and Angle Addition.notebook
September 08, 2011
Segment and
Angle Addition
1. I can use the segment addition postulate to find the measure of the lengths of segments.
2. I can use the angle addition postulate to find the measure of angles.
1
Segment and Angle Addition.notebook
September 08, 2011
Segment Addition Postulate
If R is between X and Y,
then RX +RY = XY
If RX +RY = XY,
then R is between X and Y.
Y
R
X
2
Segment and Angle Addition.notebook
September 08, 2011
Given that S is between R and T.
1. RS = 2x +1, ST = x ­ 3, and RT = 5x ­ 8, Find RT.
π x=3 and RT=7
2. RS = x + 6, ST = 2x ­ 4, and RT = 7x ­ 14, Find ST and RS. π x=4 RS=10 ST=4
3
Segment and Angle Addition.notebook
September 08, 2011
Given Y is the midpoint of XZ and R is the midpoint of XY.
3. XY = 2a + 11, YZ = 4a ­ 5, find XZ
π a=8 XZ=54
4. XY = a + 4, XZ = 5a + 5, find YZ
π a=1 YZ=5
5. XR = m, XZ = 8m ­ 14, find YZ
π m=3.5 YZ=7
4
Segment and Angle Addition.notebook
1
September 08, 2011
Find the value of a.
Multiple choice
A 27
5a­4
3a
B 41
X
14
Y
Z
C 9
D 14/3
5
Segment and Angle Addition.notebook
2
September 08, 2011
Find the measure of PQ if Q is the midpoint of PR.
A 8
B 68
9y­2
P
14+5y
Q
R
C 4
D 34 6