GEOMETRY IN 3D

Honors Geometry

PLANES 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?

PLANES 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

PLANES 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:

PLANES 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

PLANES 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.

PLANES 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)

FOUR METHODS TO DETERMINE A PLANE1) Three non-

collinear points

2) A line and a point not on that line

3) Two intersecting lines

4) Two parallel lines