Honors Geometry
 How
many lines can be passed through one
point?
 How many planes can be passed through one
point?
 How many planes can be passed through two
distinct points?
 Is it possible to have more than one line
intersecting a plane at one point?
 How many planes can intersect a line at one
point?
 How
many lines can be passed through one
point? INFINITELY MANY
 How many planes can be passed through one
point? INFINITELY MANY
 How many planes can be passed through two
distinct points? INFINITELY MANY
 Is it possible to have more than one line
intersecting a plane at one point? YES
 How many planes can intersect a line at one
point? INFINITELY MANY
 Is
it possible for two planes to meet in just
one point?
 Can two planes contain the same line?
 Can three planes meet in just one point?
 If three points do not lie on the same line,
how many different planes can contain those
three points?
 The intersection of a line and a plane is a:
 The intersection of two planes is a:
 Is
it possible for two planes to meet in just
one point? NO
 Can two planes contain the same line? YES
 Can three planes meet in just one point? YES
 If three points do not lie on the same line,
how many different planes can contain those
three points? ONE
 The intersection of a line and a plane is a:
POINT
 The intersection of two planes is a: LINE
 True
or false: Two lines are parallel if they
do not intersect.
 True or false: If two distinct lines are
perpendicular to a third line, then they are
parallel.
 True
or false: Two lines are parallel if they
do not intersect. FALSE (could be skew…
statement is true in a plane only – 2D)
 True or false: If two distinct lines are
perpendicular to a third line, then they are
parallel. FALSE (true in 2D on a plane, but
not in 3D)
1)
Three noncollinear points
2)
A line and a
point not on
that line
3)
Two
intersecting
lines
4)
Two parallel
lines