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.

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Presentation transcript:

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 non- collinear points 2) A line and a point not on that line 3) Two intersecting lines 4) Two parallel lines