TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a...

22
TOOLS OF GEOMETRY UNIT 1

TAGS:

Transcript of TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a...

Page 1: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

TOOLS OF GEOMETRY

UNIT 1

Page 2: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

POINTS, LINES, AND PLANESEssential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and definitions

Pg. 11

Page 3: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Pg. 12

Page 4: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

The terms point, line, and plane are not defined because their definitions would require terms that also need defining. You can, however, use undefined terms to define other terms. A geometric figure is a set of points. Space is the set of all points in three dimensions. Similarly, the definitions for segment and ray are based on points and lines.

Pg. 12

Page 5: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

SEGMENTS AND RAYS

Pg. 13

Page 6: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

POSTULATE: A postulate or axiom is an accepted statement of fact. Postulates, like undefined terms, are basic building blocks of the logical sys in geometry

Page 7: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

If two planes intersect, then they intersect in exactly one line.

Pg. 14

Page 8: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

POSTULATE 4

Page 9: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Through any three noncollinear points, there is exactly one plane.

Pg. 15

Page 10: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Pg. 21 &21

Page 11: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Ruler Postulate

Pg. 21

Page 12: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Segment

Addition

Postulate

Pg. 21

Page 13: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Pg. 22

Page 14: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Midpoint

Pg. 23

Page 15: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Constructing Congruent Segments

Pg. 43

Page 16: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Perpendicular Bisector

Pg. 44

Page 17: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Constructions

Pg. 45

Page 18: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

Show what you knowPg. 23 & 37

Page 19: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.
Page 20: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.
Page 21: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.
Page 22: TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

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

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

Geometry - NJCTLcontent.njctl.org/courses/math/geometry-2015-16/points-lines-and... · Geometry Points, Lines & Planes 2015-10-21 Slide 3 / 209 Table of Contents Introduction to Geometry

Geometry - NJCTLcontent.njctl.org/courses/math/geometry-2015-16/points-lines-and... · Geometry Points, Lines & Planes 2015-10-21 Slide 3 / 209 Table of Contents Introduction to Geometry

Planes in 3-D Descriptive Geometry · Planes in 3-D Descriptive Geometry 4.1 SPECIFYING PLANES ... moving a line parallel to itself or by rotating a line about a point as shown in

Planes in 3-D Descriptive Geometry · Planes in 3-D Descriptive Geometry 4.1 SPECIFYING PLANES ... moving a line parallel to itself or by rotating a line about a point as shown in

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

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

Geometry Points, Lines, - NJCTLcontent.njctl.org/courses/math/geometry/points-lines-and-planes/...Slide 1 / 185 Geometry Points, Lines, Planes & Angles Part 2 2014-09-20 Slide 2

Geometry Points, Lines, - NJCTLcontent.njctl.org/courses/math/geometry/points-lines-and-planes/...Slide 1 / 185 Geometry Points, Lines, Planes & Angles Part 2 2014-09-20 Slide 2

9.1 Introduction to Geometry Points lines and Planes Notes ... · 9.1 Introduction to Geometry Points lines and Planes Notes Answers.notebook Subject: SMART Board Interactive Whiteboard

9.1 Introduction to Geometry Points lines and Planes Notes ... · 9.1 Introduction to Geometry Points lines and Planes Notes Answers.notebook Subject: SMART Board Interactive Whiteboard

Geometry Points, Lines, - content.njctl.orgcontent.njctl.org/courses/math/geometry/points-lines-and-planes/... · Slide 1 / 185 Geometry Points, Lines, ... Locus & Angle Constructions

Geometry Points, Lines, - content.njctl.orgcontent.njctl.org/courses/math/geometry/points-lines-and-planes/... · Slide 1 / 185 Geometry Points, Lines, ... Locus & Angle Constructions

Pre-AP Geometry Unit 1 Points, Lines, Planes, and Angles.

Pre-AP Geometry Unit 1 Points, Lines, Planes, and Angles.

Geometry Chapter 4.1 Parallel Lines and Planes

Geometry Chapter 4.1 Parallel Lines and Planes

Planes to Solid Geometry

Planes to Solid Geometry

Geometry Lesson 1.2 Points, Lines, and Planes · Geometry Lesson 1.2 Points, Lines, and Planes August 17, 2007. Objectives Students will be able to : Define : Point, line, plane,

Geometry Lesson 1.2 Points, Lines, and Planes · Geometry Lesson 1.2 Points, Lines, and Planes August 17, 2007. Objectives Students will be able to : Define : Point, line, plane,

Points, Lines, and Planes To understand basic terms of geometry. To understand basic postulates of geometry.

Points, Lines, and Planes To understand basic terms of geometry. To understand basic postulates of geometry.

1.2 Points, Lines, and Planes 9/10/12 Geometry – a mathematical system built on accepted facts, basic terms, and definitions. Undefined Terms – the basic.

1.2 Points, Lines, and Planes 9/10/12 Geometry – a mathematical system built on accepted facts, basic terms, and definitions. Undefined Terms – the basic.

Geometry Points, Lines, Planes & Angles Part 1content.njctl.org/courses/math/archived-courses... · Geometry Points, Lines, Planes & Angles Part 1 2014-09-05 Slide 3 / 206 Table of

Geometry Points, Lines, Planes & Angles Part 1content.njctl.org/courses/math/archived-courses... · Geometry Points, Lines, Planes & Angles Part 1 2014-09-05 Slide 3 / 206 Table of

Geometry: Points, Lines, Planes, and Angles

Geometry: Points, Lines, Planes, and Angles

Geometry Vocabulary Definition/Description … skew lines Lines that lie in different planes that are neither parallel nor intersecting. 13 parallel planes Planes that do not intersect.

Geometry Vocabulary Definition/Description … skew lines Lines that lie in different planes that are neither parallel nor intersecting. 13 parallel planes Planes that do not intersect.

Basics of Geometry POINTS! LINES! PLANES! OH MY!.

Basics of Geometry POINTS! LINES! PLANES! OH MY!.

Geometry Points, Lines, Planes & Angles Part 2

Geometry Points, Lines, Planes & Angles Part 2

Geometry Lesson 1.2 Points, Lines, and Planes

Geometry Lesson 1.2 Points, Lines, and Planes

Geometry Section 1 – Points, Lines, and Planes. Lesson 1 Contents Example 1Name Lines and Planes Example 2Model Points, Lines, and Planes Example 3Draw.

Geometry Section 1 – Points, Lines, and Planes. Lesson 1 Contents Example 1Name Lines and Planes Example 2Model Points, Lines, and Planes Example 3Draw.