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#2.3 Postulates and Diagrams

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Complete the Two-Point Postulate:


"Through any two points there exists ____________________"

a)

exactly one line

b)

more than one line

c)

exactly one plane

d)

exactly two lines.

2.

Complete the Line-Point Postulate:


"A line contains at least ____________________"

a)

three points

b)

two points

c)

two planes

d)

three planes

3.

Complete the Line-Intersection Postulate:


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

a)

at infinite points

b)

at two points

c)

exactly one point

d)

undefined

4.

Complete the Three Point Postulate:


"Through any three noncollinear points, there exists exactly____________________"

a)

one plane

b)

one point

c)

two planes

d)

6 points

5.

Complete the Plane-Point Postulate:


"A plane contains ____________________"

a)

at least two noncollinear points

b)

at least three noncollinear points.

c)

no more than 3 noncollinear points

d)

none of the above

6.

Complete the Plane-Line Postulate:


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

a)

lies in the plane.

b)

is perpendicular to the plane

7.

Complete the Plane-Intersection Postulate:


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

a)

a plane.

b)

a line

c)

a circle

d)

a triangle

8.

State the postulate illustrated here.

a)

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

b)

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

c)

A line contains at least two points.

d)

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

9.

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

a)

Through points B and C there is one line,

ll

b)

Plane P and Plane Q intersect at line k.

c)

Line ll and line k intersect at point C.

d)

Points A and B both lie in plane P.

10.

Which statement is TRUE, based on this diagram?

a)

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

b)

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

c)

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

d)

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