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Geom: 1-2 Measuring and Constructing Segments

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1 Geom: 1-2 Measuring and Constructing Segments
Warm Up Simplify. 1. 7 – (–3) 2. –1 – (–13) 3. |–7 – 1| Solve each equation. 4. 2x + 3 = 9x – x = 4x – 5 6. How many numbers are there between and ? 10 12 8 2 5 Infinitely many

2 B, E, A A B, C, D, E N plane ABC A see pictures S see pictures If 2 pts lie in a plane, then the line containing G, J, and l pts also lies in the plane planes T and S ¼ see pics Through any 3 noncollinear pts there is see pics exactly one plan containing them. stakes, bones, squares C see pics F see pics D U U U n(n – 1)/2 If 2 pts lie in a plane, then the line containing 2 pts also lies in the plane

3 Geom: 1-2 Measuring and Constructing Segments
Coordinate: Number on ruler that corresponds to a point Distance: between two points is the abs. value of the difference of the coordinates, also called LENGTH Ex. 1: 3 ½ 4 ½

4 Geom: 1-2 Measuring and Constructing Segments
Congruent Segments: Segments with same length Use TICK MARKS to show congruent segments. Add a tick mark for each group of congruent segments.

5 1⅓ + YZ = 3 XY + YZ = XZ YZ = 1⅔ DE + EF = DF 3x – 1 + 13 = 6x
Ex. : 1⅓ + YZ = 3 XY + YZ = XZ YZ = 1⅔ DE + EF = DF 3x – = 6x DF = 6x = 6(4) = 24 3x + 12 = 6x 12 = 3x 4 = x

6 Midpoint: A point that BISECTS, divides, segment into two congruent segments If M is midpoint of AB, then AM = MB. Ex. 4: XR + RS = XS XR + RY 365 + RS = 2000 RS = 1635 = m RY = YS = 817.5


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