Coordinate Plane Basics

Slides:

Advertisements

Similar presentations

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

Advertisements

1.1 Building Blocks of Geometry

Geometry Sections 1.2 & 2.1 The Building Blocks of Geometry

1.2 Points, Lines, and Planes

a location in space that has no size.

Basic Geometry Concepts

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

Lesson 1.2 Intro to Geometry.

CHAPTER Understanding points, lines and planes

Points, Lines and Planes

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

Introduction to Geometry: Points, Lines, and Planes

1.1 The Building Blocks of Geometry

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

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

POINTS, LINES AND PLANES BIG IDEA: REASONING AND PROOF ESSENTIAL UNDERSTANDINGS: Geometry is a mathematical system built on accepted facts, basic terms,

1-2 Points, Lines, and Planes

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

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

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

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 1-1 Understanding Points, Lines, and Planes.

Points, Lines and Planes

Lesson 1-1 Point, Line, Plane

1-2: Points, Lines, and Planes

Lesson 1.1 The Building Blocks of Geometry Ob jectives ·Understand and identify the undefined terms point, line, and plane. ·Define segment, angle, collinear,

Terms, Notation, and Representation

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 1.1 Building Your Geometry Portfolio. “Undefined” Terms Point – an exact location Line – never ending straight path Segment – 2 endpoints and.

Vocabulary A definition is comprised of a category or classification and a critical attribute. The critical attribute is the thing that makes one definition.

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

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

Holt Geometry 1-1 Understanding Points, Lines, and Planes 1-1 Identify Points, Lines, and Planes Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

Holt Geometry 1-1 Understanding Points, Lines, and Planes 1-1 Understanding Points, Lines, and Planes Holt Geometry Warm Up Warm Up Lesson Presentation.

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.

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

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.

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

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.

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

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

Chapter 1 Section 1.

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

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

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

SEGMENTS, RAYS, PARALLEL LINES AND PLANES

1-2: Points, Lines, and Planes

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

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

Undefined Terms Plane Line Point.

1-2: Points, Lines, and Planes

Teacher Notes Mention Skew Show all different notations.

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

Building Blocks of Geometry

Point Line Plane Collinear Coplanar Segment Ray Opposite Rays

Lesson 1-1 Point, Line, Plane

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

1-1 Vocabulary undefined term point line plane collinear coplanar

Drill Find the next number in the sequence: -3, -1, 1, 3, __, __

Chapter 1 Tools Of Geometry

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

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

Presentation transcript:

Coordinate Plane Basics Geometry Lesson 1.1A Coordinate Plane Basics LG.1.G.2 Represent points, lines, and planes pictorially with proper identification, as well as basic concepts derived from these undefined terms, such as segments, rays, and angles

Basic Terms in Geometry: point – a location. It has no size. It is represented by a small dot and named a capital letter. A geometric figure is a set of points. line – an infinite set of points that extends indefinitely in 2 directions. 3. Collinear Points: points that lie on the same line

Examples: l D B A C

4. Noncollinear points: points that do not lie on the same line 5. Plane: an infinite set of points that extends indefinitely in all directions. 6. Space: the set of all points (3D) 7. Coplanar: points and lines that lie in the same plane

Parts of a line 8. Segment: Two endpoints and all the points between. C 8. Segment: Two endpoints and all the points between. Ex: 9. Ray: One endpoint and all the points to one side of that endpoint. 10. Opposite Rays: Two collinear rays with the same endpoint. They form a line.

Pay close attention to the notation for segment and ray.

Types of Lines and Planes 11. Parallel Lines: Two lines that are in the same plane and never intersect 12. Parallel Planes: Planes that do not intersect 13. Skew Lines – Lines that are not parallel AND not intersecting

Facts in Geometry 14. Theorem: A statement that is proven to be true 15. Postulate: A statement that is accepted as true without proof

Some Basic Postulates a. Through any 2 points is exactly one line b. If 2 lines intersect, then they intersect at exactly one point c. If 2 planes intersect, they intersect in a line d. Through any 3 noncollinear points there is exactly one plane

Postulates c & d fill in the blank: Plane _________ and Plane_________ intersect in _______.

Hidden Planes

The Coordinate Plane Label the following: x-axis y-axis origin Quadrants I – IV The point (3, -2) The point (1, 5)