SEGMENT ADDITION This stuff is AWESOME!. Can you see a shark?What about now?

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RULER POSTULATES & SEGMENT ADDITION

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Presentation transcript:

SEGMENT ADDITION This stuff is AWESOME!

Can you see a shark?What about now?

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

C D EG 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.

If Q is between P and R, then PQ + QR = PR. What does this mean? Start with a picture: PR 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.

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. PR Q PR Q PR =

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. PR Q

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

Find MN if N is between M and P, MN = 3x + 2, NP = 18, and MP = 5x. MP N 3x x 3x = 5x 3x + 20 = 5x -3x -3x 20 = 2x = x MN = 3 (10 ) + 2 MN = 32