1. Holt McDougal Geometry 1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt McDougal Geometry

2. 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 – 115. 3x = 4x – 5 6. How many numbers are there between and ? 10 12 8 25 Infinitely many

3. Holt McDougal Geometry 1-2 Measuring and Constructing Segments Use length and midpoint of a segment. Construct midpoints and congruent segments. Objectives

4. Holt McDougal Geometry 1-2 Measuring and Constructing Segments A)A point corresponds to __________ number on a number line/ruler. The number is called a _____________. one coordinate

5. Holt McDougal Geometry 1-2 Measuring and Constructing Segments

6. Holt McDougal Geometry 1-2 Measuring and Constructing Segments A -5 B 4 B) The distance between any two points is the ________________of the difference of the coordinates. The distance is also called the ________. absolute value length AB = |-5 – 4| = |-9| = 9

7. Holt McDougal Geometry 1-2 Measuring and Constructing Segments C) _________________ are segments that have the same length. __________are used in a figure to show congruent segments. Congruent segments Tick marks

8. Holt McDougal Geometry 1-2 Measuring and Constructing Segments In order for you to say that a point B is between two points A and C, all three points must lie on the same line, and AB + BC = AC.

9. Holt McDougal Geometry 1-2 Measuring and Constructing Segments Example 1 B is between A and C, AC=14, and BC=11. Find AB.

10. Holt McDougal Geometry 1-2 Measuring and Constructing Segments Example 2 Ex 2: S is between R and T. RS=2x+7, RT=28, and ST=4x. Find x and RT.

11. Holt McDougal Geometry 1-2 Measuring and Constructing Segments D) The _________, M, of AB is the point that ________, or divides, the segment into two congruent segments. midpoint bisects ABM

12. Holt McDougal Geometry 1-2 Measuring and Constructing Segments A segment bisector is any ray, segment, or line that intersects in a segment as its midpoint. It divides the segment into two equal parts at its midpoint.

13. Holt McDougal Geometry 1-2 Measuring and Constructing Segments Example 3 B is the midpoint of AC. AB=5x, and BC=3x+4. Find x and AC.

14. Holt McDougal Geometry 1-2 Measuring and Constructing Segments Example 4 S is the midpoint of RT. RS=-2x and RT=-6x-4. Find x, RS, and ST.