Real-World Examples of Segment Addition Postulate in Action

📚 Quick Study Guide

• 📏 The Segment Addition Postulate states that if B is a point on line segment AC, then $AB + BC = AC$.
• ➕ This means that the length of the smaller segments added together equals the length of the entire segment.
• 🧭 We can use this postulate to find unknown segment lengths when we know the length of the whole segment and part of it.
• 💡 Real-world applications include measuring distances on a map, carpentry, and construction.
• 📐 Remember that the points must be collinear for this postulate to apply!

🧪 Practice Quiz

1. What does the Segment Addition Postulate state?
   1. A) If A, B, and C are collinear, then $AB = BC$.
   2. B) If B is on $\overline{AC}$, then $AB + BC = AC$.
   3. C) $AB + BC + CA = 0$.
   4. D) $AB = AC + BC$.


2. Point M is between points N and O. If $NM = 5$ and $MO = 8$, what is the length of $NO$?
   1. A) 3
   2. B) 13
   3. C) 40
   4. D) 16


3. If $PQ = 2x$, $QR = 3x + 1$, and $PR = 11$, and Q is between P and R, what is the value of $x$?
   1. A) 2
   2. B) 3
   3. C) 4
   4. D) 5


4. A carpenter is cutting a piece of wood. He needs a piece that is 20 inches long. He cuts it into two pieces. One piece is 12 inches long. How long is the other piece?
   1. A) 6 inches
   2. B) 7 inches
   3. C) 8 inches
   4. D) 9 inches


5. On a map, the distance from town A to town B is 7 cm, and from town B to town C is 5 cm. If the towns are in a straight line, what is the distance from town A to town C?
   1. A) 2 cm
   2. B) 12 cm
   3. C) 35 cm
   4. D) 25 cm


6. Given that $EF = 4y - 3$, $FG = 2y + 1$, and $EG = 34$, where F is between E and G, what is the value of y?
   1. A) 4
   2. B) 5
   3. C) 6
   4. D) 7


7. Point B is on $\overline{AC}$. If $AB = x + 3$, $BC = 2x$, and $AC = 15$, find the length of $\overline{BC}$.
   1. A) 4
   2. B) 8
   3. C) 12
   4. D) 16