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SEGMENT ADDITION.

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Presentation on theme: "SEGMENT ADDITION."— Presentation transcript:

1 SEGMENT ADDITION

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

3 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

4 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.

5 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

6 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

7 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

8 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

9 CLASSWORK / HOMEWORK


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