Section 1.3: Points, Lines, and Planes

Slides:

Advertisements

Similar presentations

Geometry Sections 1.2 & 2.1 The Building Blocks of Geometry

Advertisements

1.2 Points, Lines, and Planes

Coordinate Plane Basics

1.2 Points, Lines, and Planes

Points, Lines, and Planes SY Reference: Geometry (2007) by Ron Larson et al.

1.2 Points, Lines, and Planes 9/10/12

Lesson 1.2 Intro to Geometry.

Honors Geometry Section 1.1 The Building Blocks of Geometry

Points, Lines and Planes

Chapter 1 Section 2.  Students will understand basic terms and postulates of Geometry.

Points, Lines, and Planes

Section 1.1. Warm Up Graph each inequality. 1. x ≥ ≤ x ≤ 6 3. x 0.

Chapter 1 Lesson 2 Objective: To understand basic terms and postulates in Geometry.

Find a pattern for each sequence. Use the pattern to show the next two terms or figures. 1)3, –6, 18, –72, 360 2) Make a table of the sum of the first.

Points Undefined term No length, width, or thickness Named with a capital letter.

1-2 Points, Lines, and Planes

A Game and Some Geometry

1-2 (For help, go to the Skills Handbook, page 722.) 1. y = x y = 2x – 4 3. y = 2x y = –x + 7 y = 4x – 10 y = –x Copy the diagram of the.

Section 1.2 Points, Lines, and Planes Undefined Terms.

1-2 Points, Lines and Planes M11.B B

1 1-3 Points, Lines, and Planes Objectives: Properly name points, lines, and planes Define collinear points, coplanar points, and coplanar lines Define.

Points, Lines, and Planes Geometry Mrs. King Unit 1, Lesson 2.

Geometry  Definition: a statement that defines a mathematical object.  Undefined term: mathematical term that is not defined using other mathematical.

Solve each equation. Leave answers as fractions. 1. 5x – 3 = (x – 1) + 2 = x + 9 = 14x – x + 5 = 18x 5. 3(2x + 1) = 5(x + 7) x = 21/5.

Section 1-1, 1-3 Symbols and Labeling. Vocabulary Geometry –Study of the set of points Space –Set of all points Collinear –Points that lie on the same.

Points, Lines, and Planes 1.2 Ms. Verdino. What will we be learning today? SPI : Use definitions, basic postulates, and theorems about points,

Points, Lines and Planes.  Describe the undefined terms: point, line and plane.

Geometry 1-3. Vocabulary A point is an exact location on a plane surface. Workbook – page 6 It has no size. It is represented by a small dot and is named.

Points, Lines, & Planes Section 1-1. Undefined Terms in Geometry There are 5 undefined terms in geometry that have no formal definition, but that we have.

Points, Lines and Planes

Activity Each group member grab a marker.

1-2: Points, Lines, and Planes

1.1 Points, Line and Planes.

Section 1.1 Points, Lines, and Planes. Point No size or dimension, merely position. P Written as: P Written using a single, capital letter.

Introduction to Geometry: Points, Lines, and Planes.

1-2 Objective: Today you will learn some basic terms and symbols in geometry so that you will be able to use and name basic shapes and terms. Today is.

Lesson (1.3) Points, Lines, and Planes Students will… understand basic terms. understand basic postulates of geometry. Evidence Outcome: Students will.

Lesson 1.2 Intro to Geometry. Learning Target I can understand basic geometric terms and postulates.

Lesson 1-1 Point, Line, Plane 1 Lesson 1-1 Point, Line, Plane.

Lesson # 1 Lesson Aim: What are some basic terms of Geometry?

Date: Topic: Points, Lines, and Planes (6.1) A point is the basic building block of geometry. It has not shape of size., only location. You use a dot to.

Points, Lines and Planes Geometry Farris I can use the undefined geometric terms (point, line, plane, ray) to define angles and line segments.

Activity 1 Points, Lines, and Planes Section 1.1.

Welcome to Geometry Unit 1 Vocabulary. Undefined Terms Point In Euclidean geometry, a point is undefined. You can think of a point as a location. A point.

Basic Terms of Geometry. Basic Geometric Figures Undefined terms: ♥Line ♥Point ♥Plane.

Chapter 1-1 Notes. Definitions Point An in space Describes, but has no In pictures and diagrams, points are represented by Points are labeled Notice exact.

POINTS, LINES, AND PLANES 9/8/11. Point – A location. It has neither shape nor size Named by: A capital Letter Example: Point A Line – made up of points.

Vocabulary Review. Space Set of all points. Postulate An accepted statement of fact.

1.1 Points, Lines, & Planes p. 6. What is a definition? Known words used to describe a new word Known words used to describe a new word Undefined terms.

Geometry 1-2 Points, Lines, and Planes. Vocabulary Point – No size, only location. Represented with a dot. Symbol = Capital Letter Line – Continuous arrangement.

1.2 Points, Lines and Planes Postulate or axiom – an accepted statement of fact. These are the basic building blocks of Geometry.

 TEKS Focus:  (4)(A) Distinguish between undefined terms, definitions, postulates, conjectures, and theorems.  (1)(D) Communicate mathematical ideas,

Points, Lines and Planes Objective: To learn to identify, classify and name points, space, line, collinear points, plane, coplanar, postulate and axiom.

1.3 Points, Lines, and Planes. Points _____________________________________ _____________________________________ It has no __________ Represented by.

1-3: Points, Lines, and Planes

Pre-AP Bellwork Describe what the slope of the line is and how you can calculate it. Use complete sentences.

1-2: Points, Lines, and Planes

Points, Lines, & Planes Section 1-1.

1-2: Points, Lines, and Planes

Points, Lines, and Planes

Points, Lines, and Planes

Honors Geometry Chapter 1 Section 1.

Geometry Chapter 1 Section 2

1-2 Points, Lines, and Planes

Point Line Plane Collinear Coplanar Segment Ray Opposite Rays

Chapter 1 Section 1 Points, Lines, and Planes

Chapter 1 Exploring Geometry

Points, Lines, and Planes

1-1: Point Lines and Planes

Presentation transcript:

Section 1.3: Points, Lines, and Planes Goal: Be able to understand basic terms and postulates of geometry. Warm up: Solve the system of equations. y = 2x – 4 4x – y = 10 Graphing Substitution Elimination 4x – (2x – 4) = 10 2x + 4 = 10 2x = 6 x = 3 -2x + y = - 4 4x – y = 10 2x = 6 x = 3 y = 2(3) – 4 y = 2 y = 2(3) – 4 y = 2 (3, 2) (3, 2) (3, 2)

point - ______________________ ______________________ Location with no size, represented by a small dot, named by a capital letter A ______________________________ a geometric figure consist of a set of points space - ______________________ a boundless, 3-D set of all points

line - ________________________ ________________________ series of points that extends in two opposite directions without end m Q PQ line PQ P line m QP Points that lie in the same line are _______________. collinear points (PQ are collinear)

X, Y, and Z are not collinear X, W, and Z are not collinear In the figure below, name 3 points that are collinear and 3 points that are not collinear (noncollinear). X Z W Y Y, Z, and W are collinear Why are arrowheads on the lines? X, Y, and Z are not collinear X, W, and Z are not collinear

__________________________________ Plot __________________________________ __________________________________ A(0, -4), B (2, 2), and C(3, 5) on a coordinate plane. C B A _____________________________________________ What are your observations? Points A, B, and C are collinear.

a flat surface that has no thickness; plane - _______________________ _______________________ _______________________ _______________________ contains many lines and extends infinitely far in the direction of its lines. R B C A Plane R Plane ABC *A, B, C are noncollinear points Points and lines in the same plane are ___________. coplanar

1. Name two different planes that contain points C and G. B F D H A E J 1. Name two different planes that contain points C and G. plane BCG, plane DCG 2. Name the intersection of plane AED and plane HEG. HE 3. How many planes contain the points A, F, and H? 1 (3 noncollinear points)

postulate - _____________________ _____________________ or axiom; an accepted statement of fact Postulate 1-1_________________________ ______________________________ Through any two points,there is exactly one line. m B A

______________________________ Postulate 1-2 ________________________ ______________________________ If two lines intersect, then they intersect in exactly one point. Postulate 1-3 ________________________ ______________________________ If two planes intersect, then they intersect in exactly one line. P Plane PQR and Plane QRS intersect at QR S Q R

______________________________ Postulate 1-4 ___________________________ ______________________________ Through any 3 noncollinear points there is exactly one plane. B A C Plane ABC

What is the difference between a postulate and a conjecture?