1.1 SEGMENT ADDITION This stuff is AWESOME!.

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RULER POSTULATES & SEGMENT ADDITION

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Presentation transcript:

1.1 SEGMENT ADDITION This stuff is AWESOME!

Can you see a shark? What about now?

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

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

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.

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

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

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

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

SEGMENT ADDITION POSTULATE #1 #3

SEGMENT ADDITION POSTULATE #5 #7

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

SEGMENT ADDITION POSTULATE #11

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. #12 #13

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. #14

SEGMENT ADDITION POSTULATE #15

SEGMENT ADDITION POSTULATE #17

Line P bisects RS at M. #17

CLASSWORK / HOMEWORK