Bellwork #6

1. Draw and name a plane. Then draw and name 3 lines with the following conditions….one line is in the plane, one line intersects the plane at a point, and one line does not intersect the plane at all.

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• Draw and name two planes that intersect at a line.

Points, Lines, and Planes Postulates

Wednesday, September 5

Objectives

Content Objectives: Students will inquire about the points, lines, and planes postulates by answering true and false questions about each.

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Language Objectives: Participants will be able to verbally discuss points, lines, and planes postulates by using details and examples of each postulate.

True or False

1. Through any two points there exists exactly one line.

2. If two lines intersect, they intersect at exactly one point.

3. Through any three non-collinear points there is exactly one plane.

4. If two points lie in a plane, then the line containing those points will also lie in the plane.

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

Point, Line, & Plane Postulates

• Identify postulates using diagrams.
• Identify and use basic postulates about points, lines, and planes.

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• A postulate or an axiom is a statement that is accepted as true without proof.

Two Point Postulate �(Card #1)

Through any two points there exists exactly one line.

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Line Intersection Postulate �(Card #2)

If two lines intersect, then their intersection is exactly one point.

Three Point Postulate �(Card #3)

Through any three non-collinear points, there exists exactly one plane.

Plane Line Postulate �(Card #4)

If two points lie in a plane, then the line containing them lies in the plane.

Plane Intersection Postulate �(Card #5)

If two planes intersect, then their intersection is a line.

Exit Ticket