Chapter 1-2 (Segments and Congruence)

Slides:

Advertisements

Similar presentations

1.2 Use Segments and Congruence

Advertisements

Warm Up Find the values of y by substituting x = 2, 3, y = 3x-1 2. y = 4(x+3) 3. y = 8(x+4) + x(8+x)

Plane Geometry Unit 1 – Chapter 1

1.3 Segments and Their Measures

Use Segments and Congruence

Chapter measuring and constructing segments

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

1.2 – Segments and Congruence

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

Chapter 1Section 2 - Ruler Postulate1 Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane Section 2 Ruler Postulate Objectives: Students.

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

Ruler Postulate & Segment Addition Postulate Chapter

Essential Question: How can you create formulas to find the distance between two points in all 1-D and 2-D situations?

1.2 Measuring and Constructing Segments. Measuring Segments Using Nonstandard Units 1)Fold an index card on one of its diagonals. 2)Use the Pythagorean.

EXAMPLE 3 Find a length Use the diagram to find GH. Use the Segment Addition Postulate to write an equation. Then solve the equation to find GH. SOLUTION.

1-3: Measuring Segments. Today’s Objectives  Use The Ruler Postulate to calculate lengths of segments  Identify the midpoint of a segment, and apply.

Unit 1 Part 3 Segment Addition & Distance and Midpoint Formulas.

Warm Up Real World Solid Figures List up to 5 objects found in the real world that have shapes of each of the following solid figures: Prism Cube Pyramid.

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

1.3 Segments and Their Measures

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

Postulate: A rule that is accepted without proof (also called an axiom). The first point A A x1x1 The second point B B x2x2 How do you find the distance.

Use the diagram to find GH.

Cover Slide Use Segments and Congruence. Between Segment Relationships and Rays Between L J K N K is between J and L.N is not between J and L. (Refer.

1.3 Segments and Measure The segment postulate Distance Formula.

1. Construct a geometry ruler 2. Define length and congruent 3. Identify and use the Segment Addition Postulate.

Honors Geometry Section 1.2 Measuring Lengths. Consider this number line. On a number line, the real number assigned to a point is called the _________.

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

1-3 Segments, Rays, and Distance

David Vundi Mathematics Teacher Use Segments and Congruence GEOMETRY.

1-3 Measuring segments.

CHAPTER 1 SECTION 5.

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

1.3 Segments & Their Measures.

1-2 Use Segments and Congruence

Use segments and congruence

Measuring and Constructing Line Segments

Points, Lines, and Planes

Section 1.2 – Use Segments and Congruence

Segments, Rays, and Distance

1.5 Segments and Their Measures

1.2 – Use Segments and Congruence

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

1.3 Segments & Their Measures

Length of a Segment Let A and B be points on a number line, with coordinates a and b. Then the measure of segment AB is.

2. Definition of congruent segments AB = CD 2.

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

Chapter 1 : Essentials of Geometry

1.5 Segments & Their Measures

Congruent segments MIDPOINT OF A SEGMENT

Chapter 1: Tools of Geometry

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

1.3 Segments and Their Measures

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

Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane

The Distance and Midpoint Formulas

1.2 Measuring and Constructing Segments

Section 1.3 Segments and Their Measures

Measuring and Constructing Segments

Measuring Segments Skill 03.

Chapter 1 Section 2 Measuring and Constructing Segments

Use Segments and Congruence & Midpoints

Chapter 1 Basics of Geometry.

Chapter 1 Basics of Geometry.

1.3 Segments & Their Measures

1.3 Segments and Their Measures

Presentation transcript:

Chapter 1-2 (Segments and Congruence) What are postulates? A rule in geometry that is accepted without proof, it is given.

Chapter 1-2 (Segments and Congruence) Postulate 1: Ruler Points on a line can be matched to numbers (coordinates) Distance between points can be written as absolute value of distance between coordinates

Chapter 1-2 (Segments and Congruence) Example Measure the length of the line segment given to you (in cm). Have your shoulder partner confirm

Chapter 1-2 (Segments and Congruence) Postulate 2: Segment Addition If B is between A and C, then AB + BC = AC If AB + BC = AC, then B is between A and C

Chapter 1-2 (Segments and Congruence) Example

Chapter 1-2 (Segments and Congruence) Example Use the Segment Addition Postulate to write an equation, then solve to find the KL

Chapter 1-2 (Segments and Congruence) Example

Chapter 1-2 (Segments and Congruence) What are congruent segments? Line segments that have the exact same length. Lengths are EQUAL (AB = CD) Segments are CONGRUENT (AB = CD) A B C D

Chapter 1-2 (Segments and Congruence) Example