Line Segment A line segment consists of two points called endpoints of the segment and all the points between them. A D H.

Slides:



Advertisements
Similar presentations
Chapter measuring and constructing segments
Advertisements

Lesson 1-3: Use Distance and Midpoint Formulas
Lesson 6.2 Properties of Chords
1.1 Exit Ticket: Part 1 Answers
Goal 1. To be able to use bisectors to find angle measures and segment lengths.
1.3 – Segment addition, midpoint, and bisect
Day Problems 9/12/12 1.Name the intersection of plane AEH and plane GHE. 2.What plane contains points B, F, and C? 3.What plane contains points E, F, and.
SEGMENT ADDITION This stuff is AWESOME!. Can you see a shark?What about now?
Section 1.3 Segments & Their Measures 1/14. Geometric Vocabulary Postulate : Rules that are accepted without proof. Axiom : Synonym for postulate. Theorem.
1-3: Measuring Segments. Today’s Objectives  Use The Ruler Postulate to calculate lengths of segments  Identify the midpoint of a segment, and apply.
1.3: Segments, Rays, and Distance
Warm-up Solve the following problems for x x – 5 = 2x 2.5x – 3 = 2x x – 7 = 4x - 3.
Unit 1 Part 3 Segment Addition & Distance and Midpoint Formulas.
Objectives Use length and midpoint of a segment.
Do Now Draw and label a figure for each relationship:
1.2 Measuring and Constructing Segments
Finding Segment Lengths Absolute value of their difference.
Chapter 1-2 (Segments and Congruence)
1.3 Measuring Segments and Angles. Postulate 1-5Ruler Postulate The distance between any two points is the absolute value of the difference of the corresponding.
Ch 1-5: Measuring Segments. A trip down memory lane… The number line.
Measuring Segments and Angles During this lesson, you will use segment postulates to determine the lengths of segments.
Holt McDougal Geometry 1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments Holt Geometry Warm Up Warm Up Lesson Presentation.
Geometry CH 1-3 Measuring angles and Segments End of Lecture / Start of Lecture mark.
Equidistance Theorems Lesson 4.4 Objective: Recognize the relationships between equidistance and perpendicular bisectors. Lesson 4.4 Objective: Recognize.
It All Adds Up SEGMENT ADDITION POSTULATE. Do Now Complete the following problems by using a number line: Draw point A at 6 Draw a segment from 3 to 8,
Segments, Rays, Lines, and Planes 1-4. Segments  The part of a line consisting of two endpoints and all points between them AB or BA.
WARMUP TEXTBOOK P. 18 #35-53 ODD. SEGMENTS AND SEGMENT ADDITION AGENDA: WARMUP SEGMENT NOTES/PRACTICE QUIZ THURSDAY UNIT 2 TEST WEDNESDAY (2/18)
1-3 Segments, Rays, and Distance
4.4 The Equidistance Theorems
Segments, Rays, and Distance
Midpoint and Distance Formulas
Lesson 3 Segment measure and segment bisector
1-3 Measuring segments.
Medians, Altitudes and Angle Bisectors
Do Now: Using the picture below, decide whether the statements are true or false.
Warm-up Solve the following problems for x x – 5 = 2x
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
Warm Up: Find the length of ST
1-3: Measuring Segments Geometry – Grade 7 Book page:20.
Section 1.2 – Use Segments and Congruence
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
Medians, Altitudes and Angle Bisectors
Teacher Note When talking about the midpoint, mention that it BISECTS the line segment.
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
4.4 The Equidistance Theorems
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
Chapter 1: Tools of Geometry
Medians, Altitudes and Angle Bisectors
1-2 Measuring & Constructing Segments
1-2 Measuring and Constructing Segments Are You Ready?
Angles and Bisectors.
1-4 Measuring Segments (part 1).
1.3 Segments, Rays, and Distance
Objectives Use length and midpoint of a segment.
Section 1.3 Measuring Segments
Warm-up Solve the following problems for x x – 5 = 2x
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
Warm Up Solve each equation. 1. 2x – 6 = 7x – /4 x – 6 = 220
SEGMENT ADDITION This stuff is AWESOME!.
Section 1.4 Measuring Segments and Angles
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
Measuring and Constructing Segments
1-3 Vocabulary coordinate plane midpoint segment bisector leg
Use Segments and Congruence & Midpoints
Parallel, Parallel, Parallel ||
Objectives Use length and midpoint of a segment.
1-4 Measuring Segments and Angles part 1
1.3 Segments and Their Measures
Presentation transcript:

Line Segment A line segment consists of two points called endpoints of the segment and all the points between them. A D H

Segments that have the same length. Congruent Segment Segments that have the same length. A D H

Postulate vs. Theorem Postulate – a rule accepted without proofs. Theorem- a rule that must be proven.

Segment Addition Postulate States that given two points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC. A B C

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. C: CD + DR = CR

Using Segment Addition Postulate, answer the following questions: Example 1: If DT = 60, find the value of x. Then find DS and ST.

Segment Addition Continued: Example 2: If EG = 100, find the value of x. Then find EF and FG.

Example 3: Using the Segment Addition Postulate M is between N and O. Find NO. 27

Example 4: Draw a picture and solve for the missing segment. B is between A and C, AC = 14 and BC = 11.4. Find. AB

Example 5: Draw a picture and solve for the missing segment. Find RT if S is between R and T. RS = 2x + 7, ST = 28 and RT = 4x.

Midpoint of a segment: The midpoint of a segment is the point that bisects, or divides, the segment into two congruent segments. Example: C is the midpoint of and

Segment bisector: Example 6: BC = 3x + 2 and CD = 5x – 10. Solve for x. What is the length of BD?

Segment bisector: Example 7: AC = 5x - 16 and CF = 2x – 4. Solve for x. What is the length of AF?

Complete worksheet