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1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

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

2 Warm Up Simplify. 1. 7 – (–3) 2. –1 – (–13) 3. |–7 – 1|
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

3 Objectives Use length and midpoint of a segment.
Construct midpoints and congruent segments.

4 A point corresponds to __________ number on a number line/ruler.
one A point corresponds to __________ number on a number line/ruler. The number is called a _____________. coordinate

5

6 B) The distance between any two points is the ________________of the difference of the coordinates.
The distance is also called the ________. absolute value length A -5 B 4 AB = |-5 – 4| = |-9| = 9

7 C) _________________ are segments that have the same length.
__________are used in a figure to show congruent segments. Congruent segments Tick marks

8 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 B is between A and C, AC=14, and BC=11. Find AB.
Example 1 B is between A and C, AC=14, and BC=11. Find AB.

10 Example 2 Ex 2: S is between R and T. RS=2x+7, RT=28, and ST=4x. Find x and RT.

11 midpoint D) The _________, M, of AB is the point that ________, or divides, the segment into two congruent segments. bisects A M B

12 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 B is the midpoint of AC. AB=5x, and BC=3x+4. Find x and AC.
Example 3 B is the midpoint of AC. AB=5x, and BC=3x+4. Find x and AC.

14 S is the midpoint of RT. RS=-2x and RT=-6x-4. Find x, RS, and ST.
Example 4 S is the midpoint of RT. RS=-2x and RT=-6x-4. Find x, RS, and ST.


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