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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Lesson 1.1Points, Lines and Planes

Objective:

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

POINT

•DEFINITION:▫Defines a location▫Has no dimension

•VISUAL REPRESENTATION▫A dot:

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

POINT REAL LIFE EXAMPLES

LINES

•DEFINITION▫Has one dimension

•VISUAL REPRESENTATION▫Line with two arrow heads

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

LINESIN REAL LIFE

PLANE

•DEFINITION:▫Has two dimensions

•VISUAL REPRESENTATION

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

PLANESIN REAL LIFE

COLLINEAR

•DEFINITION:▫Points that lie on the same line

•VISUAL REPRESENTATION

•HOW TO LABEL:▫No label

COPLANAR

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

•VISUAL REPRESENTATION

•HOW TO LABEL:▫No label

SEGMENT•DEFINITION:

▫A line with end points.

•VISUAL REPRESENTATION

•HOW TO LABEL:▫AB, PQ

RAY

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

side of two different points.•VISUAL REPRESENTATION

•HOW TO LABEL:▫AB

INTERSECTION

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

more points in common.•VISUAL REPRESENTATION

•HOW TO LABEL:▫No label

WHAT GEOMETRIC CONCEPTS DO YOU SEE IN THIS PICTURE?

WHAT GEOMETRIC CONCEPTS DO YOU SEE IN THIS PICTURE?

WHAT GEOMETRIC CONCEPTS DO YOU SEE IN THIS PICTURE?

GUIDED PRACTICE

1. Give two other names for PT.

2. Give two other names for plane R

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.

CHECK POINT

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

INDEPENDENT PRACTICE

GEOMETRY TEXTBOOK, PAGE 5

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

HOMEWORK

•WORKBOOK, PAGE 1.PROBLEMS: 1-12.

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