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.

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Presentation transcript:

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

Find the measures (lengths) of segment AB, segment BC, and segment AC ● ● ●

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 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.