Transcript Segment Addition Postulate

Length of a Segment
Let A and B be points on a number
line, with coordinates a and b. Then
the measure of segment AB is
a  b or b  a
Find the measures (lengths) of segment
AB, segment BC, and segment AC
A
●
B
●
C
●
Find the length of segment XY.
X is a point at -17
Y is a point at 37
Find the length of segment AB
A is a point at 43
B is a point at -5
Segment Congruence
Postulate
If two segments have the same
length, the segments are congruent.
If two segments are congruent, then
they have the same length.
XY = YZ, then ___________
If _________ , then AB = CD
What is Segment Addition Postulate?
Segment Addition Postulate
(SAP) states that if point B is
between point A and point C, then
AB + BC = AC. If AB + BC = AC,
then B is between A and C.
A
B
C
B is between A and C. Find the value of x
and the measure of BC if: AB = 3, BC = 4x +
1, AC = 8.
Y is between X and Z, find the value of x and
the measure of XZ. XY = 24, YZ = 3x, XZ =
7x – 4.
If M is between L and N and LM = 2, MN =
4x + 6, LN = 32, then find x and MN.
If F is between E and G and EF = 26, FG =
5x, EG = 9x –6, find x and EG.
If U is between T and V and TU = 2x, UV =
26, TV = 13x -7, find x and TU.