Section 1.1 – Identify Points, Lines, and Planes
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Section 1.1 – Identify Points, Lines, and Planes Divide the top half of your paper into three vertical columns. The titles for the columns should be Points, Lines, and Planes Try to write a definition of each of these terms in your columns This is a difficult task as these are actually known as “undefined terms” in Geometry!
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Section 1.1 – Identify Points, Lines, and Planes. Divide the top half of your paper into three vertical columns. The titles for the columns should be Points, Lines, and Planes Try to write a definition of each of these terms in your columns - PowerPoint PPT Presentation
Transcript of Section 1.1 – Identify Points, Lines, and Planes
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Section 1.1 Identify Points, Lines, and PlanesDivide the top half of your paper into three vertical columns. The titles for the columns should be Points, Lines, and PlanesTry to write a definition of each of these terms in your columnsThis is a difficult task as these are actually known as undefined terms in Geometry!
Section 1.1 Identify Points, Lines, and PlanesWhat do we use to represent a point?A point is represented by a dotHow many dimensions does a point exist in?It has no dimensions (this will make more sense soon)What is the best way to communicate to someone which point we are talking about in the diagram?We label each point with a Capital letter
Section 1.1 Identify Points, Lines, and PlanesWhat do we use to represent a point?A point is represented by a dotHow many dimensions does a point exist in?It has no dimensions (this will make more sense soon)What is the best way to communicate to someone which point we are talking about in the diagram?We label each point with a Capital letterExample: Point B
Section 1.1 Identify Points, Lines, and PlanesHow do we represent a line?An infinite number of dots (points) put together in a straight row with arrows on the endsWhy the arrows?A line extends forever in both directionsHow many dimensions does a line exist in?One dimension (left-right is one dimension, up-down is another, and forward-backward is another)
Section 1.1 Identify Points, Lines, and Planes
Section 1.1 Identify Points, Lines, and PlanesHow do we represent a plane?Something that looks like a floor or wall (but really extends forever)How many dimensions?A plane exists in two dimensionsWhat is it called if it goes forever in three dimensions?Space Sometimes to emphasize the three dimensions we call it 3-space
Section 1.1 Identify Points, Lines, and PlanesHow do we name a plane?Option one: a single letter (that is not referencing a point)Example: plane ROption two: three points that are NOT in a straight line, but are on the planeExample: plane EFG
Section 1.1 Identify Points, Lines, and PlanesMore definitions:CollinearPoints that are all on a line togetherNoncollinear = NOT on the same lineCoplanarPoints, lines, etc. that are all on a plane togetherNoncoplane = NOT on the same planeSection 1.1 Identify Points, Lines, and Planes
Section 1.1 Identify Points, Lines, and Planes
Section 1.1 Identify Points, Lines, and Planes
Section 1.1 Identify Points, Lines, and PlanesWhat do you think it would take for two rays to be opposite rays?They have to have the same endpoint and go in completely opposite directionsThus opposite rays are collinear
Section 1.1 Identify Points, Lines, and Planes
Section 1.1 Identify Points, Lines, and PlanesWhat is formed when two different lines intersect?A point, like point P
Section 1.1 Identify Points, Lines, and Planes
Section 1.1 Identify Points, Lines, and PlanesExamples:Sketch a plane and a line that is in the planeSketch a plane and a line that does not intersect the planeSketch a plane and line that intersects the plane at one point
ClosureOn a half sheet of paper (to turn in when you are finished) write down:3 vocabulary words from todays lessonA drawing of 2 planes intersecting1 question that you haveHomework: page 5 #3-13, 17-23, 44
