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

Slides:



Advertisements
Similar presentations
1.2 Building Blocks of Geometry
Advertisements

Proving Statements in Geometry
Geometry Terms: Chapter 1.
Geometry Chapter 1 Review TEST Friday, October 25 Lessons 1.1 – 1.7
Geometry Review Test Chapter 2.
What are we studying next?
Vocabulary 2.1 MA418 – Spring 2010 McAllister. Point Location in space that has no size or dimension Is usually denoted by a dot and a capital letter.
Points, Lines, and Planes
Good Morning – Geometry Tuesday, September 20 th Homework Corrections on Summer Assignment Test –On separate paper, redo any problem where points were.
1.2 Points, Lines, and Planes
BASIC ELEMENTS OF GEOMETRY
Math 2 Geometry Based on Elementary Geometry, 3 rd ed, by Alexander & Koeberlein 4.2 The Parallelogram and Kite.
CLASS VI. What is Geometry????!!!?? Geometry is the branch of mathematics which deals with the properties and relations of lines, angles, surfaces and.
Section 1-5: Constructions SPI 32A: Identify properties of plane figures TPI 42A: Construct bisectors of angles and line segments Objective: Use a compass.
Geo Warm-Up Make & label a chart and answer the question in a complete sentence John, Harry and Phil are married to Sally, Nancy & Arlene, but not necessarily.
Geometry Ch 1.1 Notes Conjecture – is an unproven statement that is based on observation Inductive Reasoning – is a process used to make conjectures by.
Tools of Geometry Chapter 1 Vocabulary Mrs. Robinson.
Definitions of Key Geometric Terms A quick review of material covered in Math A La Salle Academy, Mrs. Masullo.
1-2: Measuring & Constructing Segments. RULER POSTULATE  The points on a line can be put into a one-to-one correspondence with the real numbers.  Those.
 Give an example of a point, line and plane that can be found in the classroom.
Points, Lines, and Planes Sections 1.1 & 1.2. Definition: Point A point has no dimension. It is represented by a dot. A point is symbolized using an upper-case.
CHAPTER 1: Tools of Geometry
Good Morning – Geometry Tuesday, September 20 th Homework Corrections on Summer Assignment Test –On separate paper, redo any problem where points were.
Some Basic Figures Points, Lines, Planes, and Angles.
Building Blocks of Geometry. The Building Blocks Point Plane Line These 3 objects are used to make all of the other objects that we will use in Geometry.
Geometry 1.1 Basic Geometric Objects. 1.1 Basic Geometric Objects The 3 Undefined Terms of Geometry represent these three objects… Points Lines (and portions.
Building Blocks of Geometry
Foundations for Geometry Chapter 1 By: Peter Spencer Maria Viscomi Ian McGreal.
Lesson1.1. Three building blocks of geometry are points, lines, and planes. A point is the most basic building block of geometry. It has no size. It has.
1.1 Segment Length and Midpoints
Math 2 Geometry Based on Elementary Geometry, 3 rd ed, by Alexander & Koeberlein 3.1 Congruent Triangles.
Geometry Introductory Terms
Basics of Geometry Defining Terms
Copyright © Cengage Learning. All rights reserved. Line and Angle Relationships 1 1 Chapter.
Bellringer! Solve the following equations 1.P – 1 = 5P + 3P – = -(y + 4) 3.(2 + 6 x – 4) x 2 = ? 4.(5 + 16) ÷ 7 – 2 = ?
Circles Modified by Lisa Palen. Definitions Circle The CENTER of the circle is the point that is the same distance to every point on the circle. The distance.
Building Blocks of Geometry. DEFINITION A statement that clarifies or explains the meaning of a word or a phrase.
Chapter By Skyler Cassity & Ryan Tourial.
Vocabulary Word: Supplementary Angles Definition: Two angles whose sum is 180°.
Basics of Geometry Chapter Points, Lines, and Planes Three undefined terms in Geometry: Point: No size, no shape, only LOCATION.  Named by a single.
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.
LESSON 2 UNDEFINED TERMS. In Geometry, there are 3 undefined terms: points, lines, and planes. We can give descriptions of these three terms. We also.
Jeopardy Terminology Quiz Geometry All points on a circle are the same distance from this point. (100)
Circles and Arcs. General Vocabulary: CIRCLE: the set of all points equidistant from a given point called the CENTER RADIUS: a segment that has one point.
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.
Building Blocks of Geometry Objective: Learn and apply the basic terms used throughout Geometry.
GEOMETRY Chapter 1 1. Distance What is the distance between the two points? A(2,2) B(0,0) 3.
Slide 1-1 Copyright © 2014 Pearson Education, Inc. 1.6 Constructions Involving Lines and Angles.
Chapter 1: Basics of Geometry
Basics of Geometry Chapter 1.
Foundations of Geometry
Measuring Segments and Angles
Geometry Basic Terms Unit 1 Vocabulary.
Points, Lines, and Planes
Geometry Symbols The angle with vertex B and having points A
9.1 Lines and Angles.
Good Morning  Please take out your flashcards.
Definitions worksheet follow-up
Chapter 1 Basics of Geometry.
Chapter 1 Basics of Geometry.
10.1 Exploring Angles in a Circle
Term Definition How to Name… Picture.
-Find your name on your book and that is your assigned seat
1.2 Informal Geometry and Measurement
Geometry vocab. tHESE SHOULD also be DONE ON INDEX CARDS AND YOU SHOULD BE CONSTANTLY REVIEWING THEM AS WE GO!
*YOU SHOULD CONSTANTLY BE REVIEWING THIS VOCABULARY AS WE GO!
Good Morning – Geometry Tuesday, September 20th
Circles and Arcs.
Vocabulary undefined term point line plane collinear coplanar
Copyright © Cengage Learning. All rights reserved.
Presentation transcript:

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

Vocabulary “Undefined” terms Point:Location but no size. Represented by a dot. Usually named using upper case letter. No dimension Line: Has infinite length but no width. Has the quality of “straightness”. Named with lower case script letter or by identifying two points contained in the line with double arrow above. One-dimensional. Plane: Has infinite length and infinite width but no thickness. We use upper case letters to name planes. Two-dimensional.

Vocabulary Informal definitions A line segment is the portion of a line between two points. We name the segment using these two endpoints, showing a bar above the letters. No bar refers to the distance between the endpoints or the length of the segment. If we use a ruler to measure, we are only getting an approximation.

Vocabulary Informal definitions Three points are said to be collinear if they are on the same line. A-X-B will indicate points A, X, and B are collinear and X is between A and B. If B is a point on the segment AC, then B is a midpoint of segment AC if AB = BC. Two figures of the same shape and size are said to be congruent. 

Vocabulary Informal definitions An angle has two sides and a common point called the vertex. The angle can be named using the vertex only, or using points from one of each of the sides and the vertex – in that case the vertex is always written as the middle point. We measure angles using a protractor. The units are degrees. Always use .

Vocabulary Informal definitions If ÐABD is separated into two congruent angles ÐABC and ÐCBD then ÐABD has been bisected. Any angle measuring 180  is a straight angle. When a straight angle is bisected, the two angles formed are right angles.

Vocabulary Informal definitions Figures such as triangles and rectangles are named by listing their vertices. Adjacent vertices in the name imply that the line segment containing them are sides on the figure.  ABC rectangle WXYZ

Vocabulary Informal definitions A circle is the set of all points in a plane that are a given distance from a given point (called the center). Any line segment joining the center to a point on the circle is called the radius. (Plural radii) A part of a circle between any two of its points is called an arc.

Construction: Bisect a line segment Given: Segment AB Construct: M so that AM = MB (M is the midpoint of segment AB) Construction 2, p. 15 in text