1.1 The Building Blocks of Geometry

Slides:

Advertisements

Similar presentations

1.2 Building Blocks of Geometry

Advertisements

Chapter 1-3 Points, Lines and Planes

1.1 Building Blocks of Geometry

Geometry Sections 1.2 & 2.1 The Building Blocks of Geometry

Geometry Review Test Chapter 2.

Geometry Definitions POINTS, LINES, and PLANES

Coordinate Plane Basics

a location in space that has no size.

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

Warm - Up Please get our your homework and start these problems on a piece of loose leaf paper. Graph each of these ordered pairs. 1.) (-2, 1) 2.) (4,

Warm-Up 2/1/13 Describe any points, lines and planes you see in this picture.

Introduction to Geometry: Points, Lines, and Planes

CHAPTER 1: Points, Lines, Planes, and Angles

1-2 Points, Lines, and Planes

A Game and Some Geometry

1-2: Points, Lines and Planes

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

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.

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,

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

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 and Planes

Bellwork Name all the angles that have the vertex B. 1) 2) 3) 4) a. Translate

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,

Elements of 2D Figures & Classifying Polygons. Point: a position in a plane or in a space that has no dimensions. Example: a point is written point A.

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.

The Basics!!! GPS Geometry August 14, Point  The basic unit of geometry  Has no dimension.  Used to represent a precise location on a plane 

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

Basics of Geometry Defining Terms

1/18/ : The Building Blocks of Geometry Expectation: G1.1.6: Recognize Euclidean geometry as an axiom system. Know the key axioms and understand.

MTH 232 Section 9.1 Figures in the Plane. Overview In this section we consider the most basic shapes of geometry: 1.Points 2.Lines 3.Segments 4.Rays 5.Angles.

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

Chapter By Skyler Cassity & Ryan Tourial.

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.

1.1 Vocabulary A segment is a part of a line that begins at one point and ends at another. A ray is a part of a line that starts at a point and extends.

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

Points, Lines and Planes Lesson 1.2 Pre-AP Geometry.

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.

Geometric Structure Basic Information. IntroductionInstructionExamplesPractice Geometry is a way of thinking about and seeing the world. Geometry is evident.

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

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

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

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

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

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

Foundations of Geometry

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

Points, Lines, and Planes

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

Crossword Objective Terms/Dictionary Conga Line

BASIC GEOMETRIC CONCEPTS

DOWN ACROSS Unit 1 Vocabulary Review

Point Line Plane Collinear Coplanar Segment Ray Opposite Rays

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

Chapter 1 Exploring Geometry

Geometry Chapter 1 Essentials of Geometry

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

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

1-1: Point Lines and Planes

Presentation transcript:

1.1 The Building Blocks of Geometry Objectives: Define basic geometric terms Investigate postulates about points, lines, & planes. Warm-Up: Use only 4 straight lines to cut a pizza into 11 pieces.

Vocabulary: Point: Can be thought of as a dot that represents a location on a plane or in space. . Geometric points have no size.

Vocabulary: Line: Contains an infinite number of points Is perfectly straight. Extends infinitely in two directions. Has no thickness. You need at least two points to define a line.

Vocabulary: Plane: A flat surface that extends infinitely in all directions. You need at least three points to define a plane.

Vocabulary: Collinear: Lying on the same line.

Vocabulary: Coplanar: Lying in the same plane.

Vocabulary: Segment: A part of a line that begins at one point and ends at another. A segment of a line has two endpoints.

Vocabulary: Ray: A part of a line that starts at one point and extends infinitely in one direction.

Vocabulary: Endpoint: A point at the end of a segment or the starting point of a ray.

Vocabulary: Angle: A figure formed by two rays with a common endpoint.

Vocabulary: Vertex of an Angle: The point in common with the two rays that form an angle.

Vocabulary: Sides of an Angle: The two rays that form an angle.

Vocabulary: Interior and Exterior of an Angle: If two points, one from each side of an angle, are connected by a segment, the segment passes through the interior of the angle.

Vocabulary: Intersect: When geometric figures have one or more points in common. The set of points that they have in common is called their “intersection”.

Vocabulary: Postulate: A statement that is excepted to be true without proof (geometry idea).

Example 1: Y 2 Name all of the segments in the triangle. X 1 3 Z Name each of the angles in the triangle in three different ways. Name the rays that form each side of the angles in the triangle. Name the plane that contains the triangle.

Example 2: m n Classify each statement as true or false. C, T, & B are all collinear. RS is the same as RT. S B C, T, & B name a plane. T R, T, & C are all collinear. m n Four rays start at T. R C

Example 3: n m S B T Name the intersection of m and n. R C Name an angle in the figure. Name the vertex of this angle and the two rays that form the sides of the angle. Can an angle in the figure be named <T?

Example 4: Name the intersection of planes A and B. Name two coplanar points. x A z y B w

Example 5: Name a point on EH. Name the intersection of AB and AE. Name three collinear points. Name two coplanar points. B C I A D J F G E H K

Example 6: How many different segments can be named in the following figure? A B C D

Example 7: How many different angles can be named in the following figure? A B C D

Homework: Pages 14-15 Numbers 9-37