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

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Presentation transcript:

SEGMENT ADDITION This stuff is AWESOME!

Can you see a shark?What about now?

Lesson 1-2: Segments and Rays3 Between Definition: X is between A and B if AX + XB = AB. AX + XB = AB Notice that this does not say X is in the middle of A and B; it is just somewhere between A and B. Therefore AX may not equal XB

Lesson 1-2: Segments and Rays4 The Segment Addition Postulate If C is between A and B, then AC + CB = AB. Postulate: Example: If AC = x, CB = 2x and AB = 12, then, find x, AC and CB. AC + CB = AB x + 2x = 12 3x = 12 x = 4 2x x 12 x = 4 AC = 4 CB = 8 Step 1: Draw a figure Step 2: Label fig. with given info. Step 3: Write an equation Step 4: Solve and find all the answers

Lesson 1-2: Segments and Rays5 Congruent Segments Definition: If numbers are equal the objects are congruent. AB: the segment AB ( an object ) AB: the distance from A to B ( a number ) Congruent segments can be marked with dashes. Correct notation: Incorrect notation: Segments with equal lengths. (congruent symbol: )

Lesson 1-2: Segments and Rays6 Bisect To cut into two equal parts. FOR SEGMENTS: Any segment, line or plane that divides into two congruent parts, intersecting the segment at it’s midpoint. Definition:

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

YOU TRY!! 1) B is between A and C. Find the value of x and the measure of BC if: AB = 3, BC = 4x + 1, AC = 8. 3x x 3x = 5x 3x + 20 = 5x -3x -3x 20 = 2x = x MN = 3 (10 ) + 2 MN = 32

You Try!!! 1.B is between A and C. Find the value of x and the measure of BC if: AB = 3, BC = 4x + 1, AC = 8. 2.Y is between X and Z, find the value of x and the measure of XZ. XY = 24, YZ = 3x, XZ = 7x – 4. 3.If M is between L and N and LM = 2, MN = 4x + 6, LN = 32, then find x and MN. 4.If F is between E and G and EF = 26, FG = 5x, EG = 9x –6, find x and EG.