Warm-up. Agenda Mini-quiz (1-1, 1-2) Homework Review Enrichment 1-3 Section 1-4 Homework Hand in Definitions.

Slides:

Advertisements

Similar presentations

The most basic figures in geometry are undefined terms, which cannot be defined by using other figures. The undefined terms point, line, and plane are.

Advertisements

4.4 Prove Triangles Congruent by SSS

 Give an example of a point, line and plane that can be found in the classroom.

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.

Measuring Segments. 1) Complete: _________ points determine a line. _________ points determent a plane. 2) Give three names for a line that contains points.

Math 2 Geometry Based on Elementary Geometry, 3 rd ed, by Alexander & Koeberlein 1.2 Informal Geometry and Measurement.

Basics. Undefined terms Point: a dot, no dimension Line: a line the an arrow on each end, one dimension Plane: two dimensions.

Warm-up Find the area & perimeter.. Warm-up Agenda Homework Review Section 1-4 (finish) Section 1-5 Homework/Take Home Mini-Quiz Quiz tomorrow 1-1 through.

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.

6/1/ : Points, Lines and Planes 1-2: Points, Lines and Planes Expectations: 1.You will be able to identify points, lines and planes. 2.You will be.

1-3: Measuring Segments. Ruler Postulate Every point on a line can be paired with a real number. This makes a ____________ ___________________ between.

Using Segments and Congruence Midpoint Formula

Quick Warm-Up Identify an angle, segment, ray, line, and point in the figure. D 2 E F G H.

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

Lesson: Segments and Rays 1 Geometry Segments and Rays.

1-2: Points, Lines, and Planes

Understanding Points & Lines Essential Question: How do you use undefined terms as the basic elements of geometry?

1.3 Segments and Their Measures Geometry. Postulates  Rules that are accepted as true without proof  Sometimes they are called axioms.

Do Now Draw and label a figure for each relationship:

Terminology Section 1.4. Warm up Very Important. = means Equal (Measurements are exactly the same) ≅ congruent (physical object is the same size and.

1.3 Segments, Rays, and Distance. Segment – Is the part of a line consisting of two endpoints & all the points between them. –Notation: 2 capital letters.

Section 1.3 Segments and Their Measures. Coordinate The real number that corresponds to a point.

Lesson 1.5: Measuring Segments Lesson 1.6a: Measuring Angles

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.

Points, Lines, and Planes Unit 1 Day 1. Warmup Complete the warmup on your worksheet. Draw and label the following terms: point, line, and plane.

Proving Segment Relationships Section 2-7. Ruler Postulate The points on any line can be paired with real numbers so that, given any 2 points A and B.

Activity 1 Points, Lines, and Planes Section 1.1.

Basics of Geometry Chapter Points, Lines, and Planes Three undefined terms in Geometry: Point: No size, no shape, only LOCATION.  Named by a single.

Warm-up What is interesting about these triangles? 3 4 x y z 25 Find x, y & z.

Warm-up Open your books to page 11 –Look through the bold face terms in sec. 1.3 –Look at the diagrams that go with each term You will need to be ready.

Warm-up Individual work. Will be collected at 1:22 and graded.

Warm-Up Exercises Lesson 4.3, For use with pages ANSWER ∆MNO ∆PRQ 1. Write a congruence statement. M NO P R Q.

1-3 Segments, Rays, and Distance

Warm-UP 1.Name the Pink Figure! 2.Is Line FLO Colinear? 3.IS GEB CoPlaner? 4.IS AB a Line? 5.Where do the two Planes Intersect?

Points, Lines, Planes, Segments and Midpoints

Foundations of Geometry

M N O P R Q 1. How do you know that N R? ANSWER Third s Thm.

RULER POSTULATES & SEGMENT ADDITION

1.3 Segments & Their Measures.

EXAMPLE 1 Use the SSS Congruence Postulate Write a proof. GIVEN

4.3 – Prove Triangles Congruent by SSS

Points, Lines, and Planes

Chapter 1: Essentials of Geometry

Quiz Homework 1. Quiz Homework 1 Quiz Homework 1.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Standardized Test Practice

Proving Segment Relationships

Chapter 1: Tools of Geometry

A. x = 2, AB = 8 B. x = 1, AB = 5 C. D. x = –2, AB = –4

Use Segments and Congruence

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

EXAMPLE 1 Use the SSS Congruence Postulate Write a proof. GIVEN

Lesson 3.2 Segment Measure pp

This symbol means 'congruent to'

RULER POSTULATES & SEGMENT ADDITION

Chapter 1 Section 1 Points, Lines, and Planes

1. Write a congruence statement.

1-2 Vocabulary coordinate distance length construction between

Measuring Segments Chapter 1.4.

Section 1.3 Segments and Their Measures

1. Write a congruence statement.

Measuring Segments Skill 03.

Chapter 1 Section 2 Measuring and Constructing Segments

Use Segments and Congruence & Midpoints

2.7 Proving Segment Relationships

Points, Lines, Planes, Segments and Midpoints

Understanding Points, 1-1 Lines, and Planes Warm Up

Presentation transcript:

Warm-up

Agenda Mini-quiz (1-1, 1-2) Homework Review Enrichment 1-3 Section 1-4 Homework Hand in Definitions

Quiz Time

Quiz 1-1, 1-2

Definitions A line is one of the basic undefined terms in Geometry. Lines have one dimension – length. They consist of an infinite number of points placed side by side. They are named using lower case script letters or by naming two points on the line with a double arrow above them. Example l or A B

Study Guide 1-3

Practice 1-3

Enrichment 1-3

Caution – Answers Ahead

1-3 Enrichment 20 in45 in

1-3 Enrichment 6 ft 3 ft 5 ft 9 ft

Section 1-4 Measuring Segments A B C l A, B, and C are collinear. B is between A and C.

Basic Concepts Postulate – statement that is assumed to be true Number Line d d = |-5 – 10|What is the distance from B to E ?

Postulate 1-1 Ruler Postulate Ruler Postulate – The points on any line can be paired with real numbers so that, given any two points P and Q on the line, P corresponds to zero, and Q corresponds to a positive number. P Q What this really means – you can always measure the distance between two points and that distance will always be a positive number.

Postulate 1-2 Segment Addition Postulate Segment Addition Postulate – If Q is between P and R, then PQ + QR = PR. If PQ + QR = PR, then Q is between P and R. PQR

Example N LM Find LM if L is between N and M, NL = 6x – 5, LM = 2x + 3 and NM = 30.

a 2 + b 2 = c 2

Example

Pythagorean Triplets

BC Times

Distance Formula Used to measure the distance between two points on a coordinate plane.

Example

Recap H GI

L MN

Caution – Answers Ahead

Study Guide 1-4

Homework SG & P Section 1-4 Enrichment 1-1