2.3 Postulates and Diagrams

​2.3 Postulates and Diagrams

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"Learn continually there's always one more thing to learn."

- Steve Jobs

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Multiple Choice

Complete the Two-Point Postulate: #1

"Through any two points there exists ____________________"

• exactly one line

• more than one line

• exactly one plane

• exactly two lines.

Multiple Choice

Complete the Line-Point Postulate: #2

"A line contains at least ____________________"

• three points

• two points

• two planes

• three planes

Multiple Choice

Complete the Plane-Point Postulate: #5

"A plane contains ____________________"

• at least two noncollinear points

• at least three noncollinear points.

• no more than 3 noncollinear points

• none of the above

Multiple Choice

State the postulate illustrated here. #8

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

• If two planes intersect, then there intersection is a line.

• A line contains at least two points.

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

Multiple Choice

Where in the diagram is the "Two-Point Postulate" demonstrated? #9

• Through points B and C there is one line,

  $$l$$

• Plane P and Plane Q intersect at line k.

• Line $$l$$ and line k intersect at point C.

• Points A and B both lie in plane P.

Multiple Choice

Complete the Plane-Point Postulate: #12

"A plane contains ____________________"

• at least two noncollinear points

• at least three noncollinear points.

• no more than 3 noncollinear points

• none of the above

Multiple Choice

Complete the Plane-Line Postulate: #13

"If two points lie in a plane, then the line containing them____________________"

• lies in the plane.

• is perpendicular to the plane

Multiple Select

Which of the following cannot be assumed from the diagram? #15

• Points A, B, and F are collinear.

• Points E, B, and D are collinear

Multiple Choice

Points that lie on the same plane are ________. #28

• collinear
• coplanar
• parallel
• perpendicular

Multiple Choice

Points that lie on the same line are _________.#29

• coplanar
• collinear
• parallel
• perpendicular

Multiple Choice

State the postulate illustrated by the diagram. #32

• Line-Point Postulate

• Line Intersection Postulate

• Two Point Postulate

• Three Point Postulate

Multiple Select

From the diagram, which would be an example of the Line-Point Postulate? (Select all that apply) #34

• Line p contains points H and G

• Line q contains points J and K.

• Lines p and q intersect at point H

• Line p contains points K and G