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Lesson 1.1 Points, Lines and Planes

1.1 identify points, lines and planes

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This is the first lesson I give in Geometry to introduce vocabulary and basic geometric concepts that will be crucial throughout the course.

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Page 1: 1.1 identify points, lines and planes

Lesson 1.1Points, Lines and Planes

Page 2: 1.1 identify points, lines and planes

Objective:

•To identify and label basic geometric figures: (Point, Line and Plane).

Page 3: 1.1 identify points, lines and planes

POINT

•DEFINITION:▫Defines a location▫Has no dimension

•VISUAL REPRESENTATION▫A dot:

•HOW TO LABEL:▫Usually with a capital letter.

Page 4: 1.1 identify points, lines and planes

POINT REAL LIFE EXAMPLES

Page 5: 1.1 identify points, lines and planes

LINES

•DEFINITION▫Has one dimension

•VISUAL REPRESENTATION▫Line with two arrow heads

•HOW TO LABEL ▫Use two points to label: ▫AB, GH

Page 6: 1.1 identify points, lines and planes

LINESIN REAL LIFE

Page 7: 1.1 identify points, lines and planes

PLANE

•DEFINITION:▫Has two dimensions

•VISUAL REPRESENTATION

•HOW TO LABEL:▫Use three points (not on the same line)

Page 8: 1.1 identify points, lines and planes

PLANESIN REAL LIFE

Page 9: 1.1 identify points, lines and planes

COLLINEAR

•DEFINITION:▫Points that lie on the same line

•VISUAL REPRESENTATION

•HOW TO LABEL:▫No label

Page 10: 1.1 identify points, lines and planes

COPLANAR

•DEFINITION:▫Points that lie on the same plane.

•VISUAL REPRESENTATION

•HOW TO LABEL:▫No label

Page 11: 1.1 identify points, lines and planes

SEGMENT•DEFINITION:

▫A line with end points.

•VISUAL REPRESENTATION

•HOW TO LABEL:▫AB, PQ

Page 12: 1.1 identify points, lines and planes

RAY

•DEFINITION:▫Consists of all points that lie on the same

side of two different points.•VISUAL REPRESENTATION

•HOW TO LABEL:▫AB

Page 13: 1.1 identify points, lines and planes

INTERSECTION

•DEFINITION:▫To figures intersect if they have one or

more points in common.•VISUAL REPRESENTATION

•HOW TO LABEL:▫No label

Page 14: 1.1 identify points, lines and planes

WHAT GEOMETRIC CONCEPTS DO YOU SEE IN THIS PICTURE?

Page 15: 1.1 identify points, lines and planes

WHAT GEOMETRIC CONCEPTS DO YOU SEE IN THIS PICTURE?

Page 16: 1.1 identify points, lines and planes

WHAT GEOMETRIC CONCEPTS DO YOU SEE IN THIS PICTURE?

Page 17: 1.1 identify points, lines and planes

GUIDED PRACTICE

1. Give two other names for PT.

2. Give two other names for plane R

Page 18: 1.1 identify points, lines and planes

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.

Page 19: 1.1 identify points, lines and planes

CHECK POINT

•DRAW THREE NONCOLINEAR POINTS X, Y AND Z. DRAW LINE SEGMENT XZ. DRAW POINT A BETWEEN XZ AND DRAW RAY AY.

Page 20: 1.1 identify points, lines and planes

INDEPENDENT PRACTICE

GEOMETRY TEXTBOOK, PAGE 5

PROBLEMS: 3, 4, 5, 6, 8, 10, 25 & 26.

Page 21: 1.1 identify points, lines and planes

HOMEWORK

•WORKBOOK, PAGE 1.PROBLEMS: 1-12.