Unit 1.1-2.5 (Postulates) Flashcards
study study study
How many points determine a line
2
How many points are contained on a line
infinite
How many points determine a plane
3 noncollinear points
How many lines are contained in a plane
Infinite
How many planes contain two intersecting lines
One
How many planes contain two parallel lines
One
How many planes contain a line and a point not on the line
One
STAAAR
What can determine a plane
- 3 noncollinear points
- 2 intersecting lines
- 2 parallel lines
- a line and a point not on a line
A plane and a line intersect then….
their intersection is a line or a point
If two planes intersect then….
their intersection forms a line
If three planes intersect then…
their intersection is a line or a point
Does a line have to intersect a plane
no, they can be parallel to a plane
Do all planes have to intersect
no, they can be parallel
How many planes can contain a single-line
Infinite
Cam two planes intersect at a point
no, only a line
Through any two points then.
there is exactly one line
Through any three noncollinear points then…
there is exactly one plane
If two lines intersect then….
their intersection forms a point
Always/Never/Sometimes
If two lines are parallel, then they are ________ coplanar
always
Always/Never/Sometimes
If two lines are non-coplanar, then they _______ intersect
never (skew)
Always/Never/Sometimes
If three lines intersect at one point, then they are _________ coplanar
sometimes
what are the two possible relationships of two lines that do not intersect
parallel
skew
How many planes can contain two distinct intersecting lines
One
Describe how two distinct lines can be related
- intersecting at a point
- parallel
- skew
Describe how two planes can be related
- Intersecting at a line
- parallel
Describe how three planes can be related
- Intersecting at a line
- Intersecting at a point
- parallel
Describe how a line and plane can be related
- intersect to form a line (if the line lies in a plane)
- Form a point (if a line goes through a plane)
- parallel
Always/Never/Sometimes
Two planes ______ intersect at a point
never
Always/Never/Sometimes
A line and a point not on the line are ________ coplanar
always
Always/Never/Sometimes
Two distinct lines _______ meet in more than one point
never
Always/Never/Sometimes
Two points are __________ collinear
always
Always/Never/Sometimes
Three points ________ determine a plane
sometimes
Always/Never/Sometimes
Two parallel lines are ________ coplanar
always
Always/Never/Sometimes
Two skew lines are _________
coplanar
never
Three distinct planes ________ intersect at a point
sometimes
