Question

use a ruler to measure the length of the segment to the nearest half - inch.

1. n m
2. x y

sketch the three collinear points. then write the segment addition postulate for the points.

1. j is between l and m.
2. y is between w and x.

use the diagram at the right to complete the statement.

1. the point between c and f is?
2. the point between? and g is d.
3. the point between b and? is h.
4. the point between b and a is?
5. the point between? and d is g.
6. the point between a and? is d.

find the length.

1. find ac. a 6 b 12 c
2. find mn. m n 8 o 14
3. find xz. x 134 y 61 z
4. find qr. q r 14.2 s 18.4

Explanation:

Step1: Recall segment - addition postulate

The segment - addition postulate states that if a point $B$ is between points $A$ and $C$, then $AB + BC=AC$.

Step2: Solve for $AC$ in problem 11

Given $AB = 6$ and $BC = 12$. By the segment - addition postulate, $AC=AB + BC$. So, $AC=6 + 12=18$.

Step3: Solve for $MN$ in problem 12

Let $MO = 14$ and $NO = 8$. Since $MO=MN + NO$, then $MN=MO - NO$. So, $MN=14 - 8 = 6$.

Step4: Solve for $XZ$ in problem 13

Given $XY = 134$ and $YZ = 61$. By the segment - addition postulate, $XZ=XY + YZ$. So, $XZ=134+61 = 195$.

Step5: Solve for $QR$ in problem 14

Let $QS = 18.4$ and $RS = 14.2$. Since $QS=QR + RS$, then $QR=QS - RS$. So, $QR=18.4 - 14.2=4.2$.

Answer:

1. $AC = 18$
2. $MN = 6$
3. $XZ = 195$
4. $QR = 4.2$