1 2 Measuring and Constructing Segments Measuring and

1. 2 Measuring and Constructing Segments

• Measuring and Constructing Segments • Coordinate- A point that corresponds to only one number on the number line • Postulate (1. 2. 1) Ruler Postulate: Points on a line can be placed into a one to one correspondence with real numbers on a number line • Distance or length (between two points)- the absolute value of the difference of the coordinates

• Congruent segments: segments that have the same length • Constructions- a way of creating more precise figures

• Examples: • 2) Construct 2 congruent segments • Pg. 14, Check it Out problem 2

• Postulate (1. 2. 2) Segment Addition Postulate- If B is beween A and C, the AB + BC = AC

• Examples: • M is between K and N. • 1) KM = 2 x-4 MN= 3 x KN= 26 • 2) KM= 3 NM = 4 x+1 KN = 8 • 3) KM= 2 x+1 KN = 34

• Bisects- to cut something in half • Midpoint- a point that divides a segment in half (into two congruent segments) • Segment bisector- a ray, segment, or line that divides a segment in half

• Constructing Segment Bisectors • Using Paper • Using Compass

• Examples • B is the midpoint of AC • 1) AB = 3 x + 8 BC = 5 x – 26 find x and AC • 2) AC= 20 x-30 BC = 4 x + 2 find x and AB • 3) AB = 8 x BC = 10 x-9 find x and AC