Segments and Congruence Section 1.2. Vocabulary The real number that corresponds to a point is the coordinate of the point.

Slides:

Advertisements

Similar presentations

Apply the Segment Addition Postulate

Advertisements

Chapter 1.2 Using Segments and Congruence

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

1.2 Key Concepts. Postulate A rule that is accepted without proof. Sometimes called an Axiom.

Definitions and Postulates

1.3 Segments and Their Measures

Use Segments and Congruence

Chapter measuring and constructing segments

EXAMPLE 1 Apply the Ruler Postulate Measure the length of ST to the nearest tenth of a centimeter. SOLUTION Align one mark of a metric ruler with S. Then.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Geometry 1.2: Segments and Congruence SWLT: Use segment postulates to identify congruent segments.

Section 1-3 Segments, Rays, and Distance. line; segment; ray;

1 1-5 Measuring Segments Find the distance between two points using the Ruler Postulate Determine the length of a segment using the Segment Addition Postulate.

1.2 Use segments and Congruence

Section 1.3 Segments & Their Measures 1/14. Geometric Vocabulary Postulate : Rules that are accepted without proof. Axiom : Synonym for postulate. Theorem.

+ Objective: to measure segments and add segment lengths DO NOW: EVALUATE. Plot each point on a coordinate plane. 1.I -15 I 2.I 7 I 3.I I 4.I -12-(-2)

1.3 Segments and Their Measures Learning Targets: I can use segment postulates. I can use the Distance Formula to measure distances.

1-3 Measuring and Constructing Segments Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

1.3 Segments and Their Measures. Objectives/Assignment Use segment postulates. Use the Distance Formula to measure distances as applied.

Goal 1: Use segments postulates Goal 2: Use the distance Formula to measure distances. CAS 1,15,17.

1.2 Measuring and Constructing Segments

1-2 Measuring and Constructing Segments Lesson Presentation

Lesson 1.2, For use with pages Solve 3x x – 4 = 36. ANSWER 7 2. Find three cities on this map that appear to be collinear. Chicago, Bloomington,

1 1-5 Measuring Segments Find the distance between two points using the Ruler Postulate Determine the length of a segment using the Segment Addition Postulate.

Chapter 1-2 (Segments and Congruence)

F RIDAY, A UGUST 8 TH Complete warm up on separate sheet of paper 1. 2x + 3 = 9x – x = 4x – 5.

Find three cities on this map that appear to be collinear. Chicago, Bloomington, Springfield ANSWER WARM UP!

WARM UP Simplify 1.7 – (–3) 1.–1 – (–13) 2. |–7 – 1| Solve each equation. 4. 2x + 3 = 9x – x = 4x – 5 6. How many numbers are there between and ?

Lesson 1-5 Segments and Their Measures 1. Objectives Measure segments. Add segment lengths.

1-3 Segments, Rays, and Distance

David Vundi Mathematics Teacher Use Segments and Congruence GEOMETRY.

CHAPTER 1 SECTION 5.

Do Now: Using the picture below, decide whether the statements are true or false.

1.2 – Use Segments and Congruence

1.3 Segments & Their Measures.

1-2 Use Segments and Congruence

Use segments and congruence

WARM UP 1.5 On desk!.

1.3 Segments and Their Measures

Measuring and Constructing Line Segments

Points, Lines, and Planes

Section 1.2 – Use Segments and Congruence

1.2 – Use Segments and Congruence

Daily Warm up Turn in “What Shape is Your Name”

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

1.3 Segments & Their Measures

1.2 – Use Segments and Congruence

Teacher Note When talking about the midpoint, mention that it BISECTS the line segment.

Linear Measure Line Segment - A measurable part of a line that consists of two points, called the endpoints, and all the points between them. A segment.

Bellwork Solve for x Find three cities on this map that appear to be collinear.

1-2 Measuring & Constructing Segments

1.2 Segments and Congruence

Use Segments and Congruence

The Distance and Midpoint Formulas

Objectives Use length and midpoint of a segment.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

1-2 Vocabulary coordinate distance length construction between

1.2 Measuring and Constructing Segments

Math is required to get you there!!

Section 1.3 Segments and Their Measures

Chapter 1 Section 2 Measuring and Constructing Segments

Use Segments and Congruence & Midpoints

Apply the Ruler Postulate

Chapter 1 Basics of Geometry.

Objectives Use length and midpoint of a segment.

Verifying Segment Relationships

Chapter 1 Basics of Geometry.

Apply the Ruler Postulate

1.3 Segments & Their Measures

1.3 Segments and Their Measures

Presentation transcript:

Segments and Congruence Section 1.2

Vocabulary The real number that corresponds to a point is the coordinate of the point.

Vocabulary The distance between points A and B, written as AB, is the absolute value of the difference of the coordinates of A and B.

Vocabulary A rule that is accepted without proof is called a postulate. A rule that can be proved is called a theorem.

Ruler Postulate The points on a line can be matched one to one with the real numbers.

Segment Addition Postulate If B is between A and C, then AB + BC = AC. If AB + BC = AC, then B is between A and C.

EXAMPLE 2 Apply the the Segment Addition Postulate SOLUTION Maps The cities shown on the map lie approximately in a straight line. Use the given distances to find the distance from Lubbock, Texas, to St. Louis, Missouri. Because Tulsa, Oklahoma, lies between Lubbock and St. Louis, you can apply the Segment Addition Postulate. LS = LT + TS = = 740 The distance from Lubbock to St. Louis is about 740 miles. ANSWER

GUIDED PRACTICE for Examples 1 and 2 3. Use the Segment Addition Postulate to find XZ. In Exercises 3 and 4, use the diagram shown. xz = xy + yz = = 73 Segment addition postulate Substitute 23 for xy and 50 for yz Add SOLUTION ANSWER xz = 73

Vocabulary

To show that two segments are congruent in a drawing we use tick marks. A B C D

Assignment  P. 12; 1-19