Points, Lines, and Planes

Slides:

Advertisements

Similar presentations

Geometry Sections 1.2 & 2.1 The Building Blocks of Geometry

Advertisements

GEOMETRY H2 (HOLT 1-1A) K. SANTOS UNDERSTANDING POINTS, LINES, AND PLANES (TERMS)

3-Dimentional Geometry Points that lie on the same line. PLANE – A flat surface that extends in all directions without end and no thickness. A plane is.

Points, Lines, & Planes.

1.2 Points, Lines, and Planes

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

Points, Lines, and Planes

Lesson 1.2 Intro to Geometry.

Section 1.2 Points, Lines, & Planes 1/17. What is a Point? 2/17.

Basic Geometric Figures

Geometry! What did the acorn say when it grew up? This will be fun... believe it or not, but there will be some work involved as well You will need: –Three.

Geometry Notes 1.3 Points, Lines and Planes Mr. Belanger.

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

A Game and Some Geometry

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

LESSON 1.1 Points, Lines and Planes Objective: I will be able to… 1.Identify and model points, lines, and planes as well as intersecting lines and planes.

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

Introduction to Geometry – Points, Lines, and Planes Points - have no height or width - represented using a dot and labeled using a capital letter A B.

Mindjog 9/3 u Come up with two of your own examples of using inductive reasoning to find a conjecture. One must use numbers and the other must use diagrams.

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

Geometry 1-1 Understanding Points, Lines, and Planes.

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

Section 1-2 Points, Lines and Planes. A Point A point has no length, no width and no thickness. It is named using capital printed letters. A.

1-2: Points, Lines, and Planes

1.1 Points, Line and Planes.

Cover Slide Identifying Points, Lines 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.

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

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.

Chapter 1 – Reasoning in Geometry 1.2 – Points, Lines, and Planes.

1.2 Points, Lines and Planes Review. 1.2 Points, Lines and Planes Point:Represents a ______ – has __ size Named by a _______ letter: Examples:

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

Section 1-2 Points, Lines and Planes. A Point A point represents a position in space. It is named using capital printed letters. A.

There are three undefined terms in Geometry which are: A. Point B. Line C. Plane.

Activity 1 Points, Lines, and Planes Section 1.1.

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

Points, Lines, and Planes SWBAT identify collinear and noncollinear points, lines, line segments, rays, angles, parallel lines, and skew lines; read and.

Geometry 1-1 Points, Lines, and Planes. Building Blocks of Geometry  Point: Names a location; Has no size. Names a location; Has no size.  Line: Straight.

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

Lesson 1-2 Points, Lines, and Planes (page 5) Essential Question How are the relationships of geometric figures used in real life situations?

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

Section 1.1 Points, Lines, and Planes 11/22/2016.

Bell-Ringer. Simplest figure studied in Geometry Has no definite size Represents a location in space Represented by a dot and a capital letter Points.

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

On whiteboard draw the guided practice diagram shown on pg. 7 Reference this diagram as you discuss the terms.

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

Geometry 1.2 Points. Lines and Planes. Points Basic Unit of Geometry Has no size Named using capital letters Points are written as capital letters A,

Quick Warm-Up Find three objects in the classroom that can be represented by each geometric figure. Point Line Segment Angle Line Plane.

1-2: Points, Lines, and Planes

Points, Lines, & Planes Section 1-1.

Foundation Vocabulary

1-2: Points, Lines, and Planes

Lesson 1-2 Points, Lines, and Planes (page 5)

Section 1.2 Points, Lines, and Planes

Points, Lines, and Planes

Teacher Notes Mention Skew Show all different notations.

Building Blocks of Geometry

Points, Lines, and Planes

Point Line Plane Collinear Coplanar Segment Ray Opposite Rays

VOCABULARY UNDEFINED TERMS (Intuitive ideas – not “defined” in space – cannot take definite measurements) Point Line Plane.

Geometry Chapter 1 Essentials of Geometry

Points, Lines, and Planes

Points, Lines, and Planes

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

1.1 Points, Lines and Planes

1.1 Understanding Points, Lines, and Planes

Presentation transcript:

Points, Lines, and Planes Lesson 1 Points, Lines, and Planes

3 undefined terms in geometry Point – location with no size Line – a straight path that has no thickness and extends forever in opposite directions Plane – a flat surface that has no thickness and extends forever point B, point C, etc. 𝐴𝐵 , 𝐵𝐷 , 𝐶𝐵 , line n plane ADC, plane P, but not plane DAB

Collinear and Noncollinear points Any set of 3 or more points that lie on the same line are called collinear points In the diagram, points D, E, and G are collinear Points that do not lie on the same line are noncollinear Points F, D, and E are noncollinear

Identifying lines List all possible names for 𝐷𝐺 𝐺𝐷 𝐷𝐸 𝐸𝐷 𝐸𝐺 𝐺𝐸 line p

Coplanar and Noncoplanar Lines or points that are in the same plane are coplanar intersecting & parallel lines set of 4 or more points, 3 of the points are noncollinear Lines or points that are not in the same plane are noncoplanar Are points A, B and D coplanar? No, because any 3 noncollinear points will determine a plane, even if the plane is not “drawn”. Collinear/noncollinear – 3 pts Coplanar/noncoplanar – 4 pts

Identify Coplanar & Noncoplanar What are 2 names for this plane plane ACG, plane J Name 2 coplanar lines line i and line h Name noncoplanar points points E, A, G, B Name 2 noncoplanar lines 𝐹𝐾 & 𝐴𝐵

Intersection is the point or set of points in which 2 figures meet What is the intersection of : 𝐴𝐵 & 𝑀𝑁 point G plane L & plane K 𝑀𝑁 plane K & 𝐸𝐹 point B

Questions/Review The use of symbols with upper and lower case letters are important in the naming of geometric figures Do you like it when your name is misspelled? So please take note and use them appropriately 𝑀𝑁 All have different meaning What do you think they are?