1) plane BCD, plane BED, or plane ECD 1) plane BCD, plane BED, or plane ECD 2) BD, BC, BE, or BE 2) BD, BC, BE, or BE 3) EC, BC, or BE 3) EC, BC, or BE 4) points B, C, and E 4) points B, C, and E 5) points B,C,D or B,E,D, or E,C,D 5) points B,C,D or B,E,D, or E,C,D 6) point B 6) point B 7) BC and BE 7) BC and BE 8) points X,Y,Z 8) points X,Y,Z 9) point Z 9) point Z 10) XZ and YZ 10) XZ and YZ 11) XY 11) XY

Geometry 1-2 Measuring and Constructing Segments

Vocabulary coordinate- the number a point corresponds to on a ruler coordinate- the number a point corresponds to on a ruler The distance is the length between two points. Distance is always positive. The distance is the length between two points. Distance is always positive. AB = a – b or b - a A a B b

Example 1: Finding the Length of a Segment Find each length. Must be positive, so BC=2 A. BCB. CA = -2 BC = 1 – 3 CA= 5 = 5 CA = 3 – (-2)

Congruency PQ  RS Congruent segments are segments that have the same length. Tick marks are used in a figure to show congruent segments.

Segment Addition Postulate First part + Second Part = Whole length First part + Second Part = Whole length

Example 1 G is between F and H, FG = 6, and FH = 11. Find GH. F G 11 6 H Example 2 M is between N and O. NM = 17, MO = 3X-5, and NO = 5x + 2. Find the length of NO.

Definition of Midpoint Bisect- to cut into two congruent parts. Bisect- to cut into two congruent parts. Midpoint- A point that bisects a segment. If M is the midpoint of AB, then AM = MB. Midpoint- A point that bisects a segment. If M is the midpoint of AB, then AM = MB. So if AB = 6, then AM = 3 and MB = 3. So if AB = 6, then AM = 3 and MB = 3. MB A 33 6 midpoint