1. 1.1 SEGMENT ADDITION
This stuff is AWESOME!

2. Can you see a shark?
What about now?

3. NOTATION AB means the line segment with endpoints A and B.
AB means the distance between
A and B. A B
AB = 14 cm

4. BETWEEN D G E C E is between C and D. G is not between C and D.
For one point to be between two other points,
the three points must be collinear. C

5. SEGMENT ADDITION POSTULATE
If Q is between P and R, then PQ + QR = PR.
What does this mean?
Start with a picture: P R Q
If point Q is between points P and R, then the distance between P and Q
plus the distance between Q and R is equal to the distance between P and R.

6. SEGMENT ADDITION POSTULATE
If PQ + QR = PR, then Q is between P and R.
What does this mean?
If the measure of segment PQ plus the measure of segment QR is equal to
the measure of segment PR, then point Q must be between points P and R. 12 3
PR = 15 P R Q 14 3 Q P 15 R

7. COLORED NOTE CARD Segment Addition Postulate #2
If Q is between P and R, then PQ + QR = PR.
If PQ + QR = PR, then Q is between P and R. P R Q

8. Q is between R and T. RT = 18 and QR = 10. Find QT.
N is between L and P. LN = 14 and PN = 12. Find LP. L 14 N 12 P
Q is between R and T. RT = 18 and QR = 10. Find QT. 10 R Q T 18

9. Find MN if N is between M and P, MN = 3x + 2, NP = 18, and MP = 5x.
3x = 5x
3x + 20 = 5x
-3x x
20 = 2x
10 = x

10. SEGMENT ADDITION POSTULATE#1 #3

11. SEGMENT ADDITION POSTULATE#5 #7

12. SEGMENT ADDITION POSTULATE
#9 Find AC if AB=16 and BC=12

13. SEGMENT ADDITION POSTULATE
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14. For 12-13, suppose RS is congruent to MN
For 12-13, suppose RS is congruent to MN. For each set of lengths, solve for x, and find the length of each segment.
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15. 14-16, B is the midpoint of AC. Sketch a picture then use the information given to solve for xand the length of each segment.
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16. SEGMENT ADDITION POSTULATE
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17. SEGMENT ADDITION POSTULATE
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18. Line P bisects RS at M.
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19. CLASSWORK / HOMEWORK