#2.3 Postulates and Diagrams

Complete the Two-Point Postulate:

"Through any two points there exists ____________________"

• exactly one line

• more than one line

• exactly one plane

• exactly two lines.

Tags

CCSS.4.G.A.1

Complete the Line-Point Postulate:

"A line contains at least ____________________"

• three points

• two points

• two planes

• three planes

Tags

CCSS.HSG.CO.A.1

Complete the Line-Intersection Postulate:

"If two lines intersect, then their intersection is ____________________"

• at infinite points

• at two points

• exactly one point

• undefined

Tags

CCSS.HSG.CO.A.1

Complete the Three Point Postulate:

"Through any three noncollinear points, there exists exactly____________________"

• one plane

• one point

• two planes

• 6 points

Tags

CCSS.HSG.CO.A.1

Complete the Plane-Point Postulate:

"A plane contains ____________________"

• at least two noncollinear points

• at least three noncollinear points.

• no more than 3 noncollinear points

• none of the above

Tags

CCSS.HSG.CO.A.1

Complete the Plane-Line Postulate:

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

• lies in the plane.

• is perpendicular to the plane

Tags

CCSS.HSG.CO.A.1

Complete the Plane-Intersection Postulate:

"If two planes intersect, then their intersection is ____________________"

• a plane.

• a line

• a circle

• a triangle

Tags

CCSS.HSG.CO.A.1

State the postulate illustrated here.

• 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.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

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

• 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.

Tags

CCSS.HSG.CO.A.1

Which statement is TRUE, based on this diagram?

• Point O is the midpoint of $\overline{SP}$

• $\overline{SP}$ and $\overline{QM}$ intersect at point U.

• Plane L and Plane K intersect at $\overline{QM}$

• Plane L and Plane K intersect at $\overline{SP}$
  

Tags

CCSS.HSG.CO.A.1