'Noncollinear points' presentation slideshows

Geometry

Geometry. Unit 4.

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Some Basic Figures

Some Basic Figures. Points, Lines, Planes, and Angles. Objectives. Definitions and Postulates. Geometry. Segments, Rays, and Distance. Segment- Ray - Opposite Rays- Length of a segment- distance between the two endpoints. Vocabulary.

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Geometry Sections 1.2 & 2.1 The Building Blocks of Geometry

Geometry Sections 1.2 & 2.1 The Building Blocks of Geometry. In our study of geometry, in order to avoid circular definitions, we will leave 3 terms undefined. point : . Usually described as a dot but actually has no size. Named by a capital letter.

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2.1 Conditional Statements

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Linear Pair Postulate

Linear Pair Postulate . If two angles form a linear pair then they are supplementary. Complete this postulate. Through any two points there exists exactly one line. Complete this postulate. A line contains at least two points. Complete this postulate. If two lines intersect,

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Identify, name, and draw points, lines, segments, rays, and planes.

Objectives. Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes. Vocabulary. undefined term point line plane collinear coplanar segment endpoint ray opposite rays postulate.

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Section 1.3 Points, Lines, and Planes

VOCABULARY: Undefined Term Point, Line, Plane Postulate Collinear, Coplanar Segment Ray Endpoint. Section 1.3 Points, Lines, and Planes. LEARNING TARGETS: Students will be able to identify and draw points, lines, planes, rays, and segments.

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Geometry Honors

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Supplementary Mid-Term Review

Geometry. Supplementary Mid-Term Review. Find the area of the given rectangle. A. C. B. D. A plane has ____ dimensions. 0 1 2 3 ?. A plane is determined by:. 2 collinear points 2 noncollinear points a line 3 collinear points 3 noncollinear points. True or False??.

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1.3: Collinearity , Betweenness , & Assumptions

Recognize collinear and noncollinear points Recognize when a point can be said to be between two others Recognize that each side of a triangle is shorter than the sum of the other two sides . 1.3: Collinearity , Betweenness , & Assumptions. Day 2. D. R. S. W. A. Collinearity.

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1-5 Postulates and Theorems Relating Points, Lines and Planes

1-5 Postulates and Theorems Relating Points, Lines and Planes. Postulate. A line contains at least two points, a plane contains at least 3 points not all in one line; space contains at least four points not all in one plane. Postulate. Through any two points there is exactly one line.

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Section 2.1 Conditional Statements

Section 2.1 Conditional Statements. Goals. Recognize and analyze a conditional statement Write postulates about points, lines, and planes using conditional statements. Conditional Statement. A conditional statement has two parts, a hypothesis and a conclusion .

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1-2

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Using Postulates and Diagrams

Using Postulates and Diagrams. Postulate: Through any two points there exists exactly one line. Postulate: A line contains at least two points. Postulate: If two lines intersect, then their intersection is exactly one point. Postulate:

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2-5 Postulates

2-5 Postulates. Ms. Andrejko. Real World. Vocabulary. Postulate/Axiom- is a statement that is accepted as true without proof Proof- a logical argument in which each statement that you make is supported by a postulate or axiom

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1-2 Points, Lines and Planes M11.B.2 2.5.11.B

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Chapter 1-5

Chapter 1-5. Postulates and Theorems Relating to Points, Lines, and Planes p. 22. Postulates and Theorems. Postulates- assumptions accepted without proof Theorems- statements that are justified through arguments (proved) Postulates are used to prove theorems. Postulates- Review.

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EXAMPLE 1

b . a . a . Postulate 7 : If two lines intersect, then their intersection is exactly one point. b . Postulate 11 : If two planes intersect, then their intersection is a line. EXAMPLE 1. Identify a postulate illustrated by a diagram. State the postulate illustrated by the diagram.

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