1.1 identify points, lines and planes
DESCRIPTION
This is the first lesson I give in Geometry to introduce vocabulary and basic geometric concepts that will be crucial throughout the course.TRANSCRIPT
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Lesson 1.1Points, Lines and Planes
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Objective:
•To identify and label basic geometric figures: (Point, Line and Plane).
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POINT
•DEFINITION:▫Defines a location▫Has no dimension
•VISUAL REPRESENTATION▫A dot:
•HOW TO LABEL:▫Usually with a capital letter.
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POINT REAL LIFE EXAMPLES
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LINES
•DEFINITION▫Has one dimension
•VISUAL REPRESENTATION▫Line with two arrow heads
•HOW TO LABEL ▫Use two points to label: ▫AB, GH
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LINESIN REAL LIFE
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PLANE
•DEFINITION:▫Has two dimensions
•VISUAL REPRESENTATION
•HOW TO LABEL:▫Use three points (not on the same line)
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PLANESIN REAL LIFE
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COLLINEAR
•DEFINITION:▫Points that lie on the same line
•VISUAL REPRESENTATION
•HOW TO LABEL:▫No label
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COPLANAR
•DEFINITION:▫Points that lie on the same plane.
•VISUAL REPRESENTATION
•HOW TO LABEL:▫No label
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SEGMENT•DEFINITION:
▫A line with end points.
•VISUAL REPRESENTATION
•HOW TO LABEL:▫AB, PQ
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RAY
•DEFINITION:▫Consists of all points that lie on the same
side of two different points.•VISUAL REPRESENTATION
•HOW TO LABEL:▫AB
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INTERSECTION
•DEFINITION:▫To figures intersect if they have one or
more points in common.•VISUAL REPRESENTATION
•HOW TO LABEL:▫No label
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WHAT GEOMETRIC CONCEPTS DO YOU SEE IN THIS PICTURE?
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WHAT GEOMETRIC CONCEPTS DO YOU SEE IN THIS PICTURE?
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WHAT GEOMETRIC CONCEPTS DO YOU SEE IN THIS PICTURE?
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GUIDED PRACTICE
1. Give two other names for PT.
2. Give two other names for plane R
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GUIDED PRACTICE
TRUE OR FALSE:1. Points S, P and T are collinear.
2. Points V, P AND T are coplanar.
3. Point Q is coplanar with V, P and T.
3. The intersection of Plane R and line n is line m.
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CHECK POINT
•DRAW THREE NONCOLINEAR POINTS X, Y AND Z. DRAW LINE SEGMENT XZ. DRAW POINT A BETWEEN XZ AND DRAW RAY AY.
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INDEPENDENT PRACTICE
GEOMETRY TEXTBOOK, PAGE 5
PROBLEMS: 3, 4, 5, 6, 8, 10, 25 & 26.
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HOMEWORK
•WORKBOOK, PAGE 1.PROBLEMS: 1-12.