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Points, Lines, and PlanesPowerPoint Presentation

Points, Lines, and Planes

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A true plane goes on forever in all directions. grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

A true plane goes on forever in all directions. grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

A point is an exact location in space.

You are here.

A true point has no length, no width, and no height.

In fact, you cannot see a true point.

Lines are 1-dimensional objects that have only length. Lines continue forever in both directions.

A ray of light has a starting point (like the sun) and continues forever in the same direction.

Of course, if the ray hits an object, the light could be absorbed or reflected.

MIRROR

A line segment has a starting point and an ending point. Line segments can be measured.

Lines can do various Line segments can be measured.things.

Lines do not always intersect. be perpendicular.

Lines can be parallel. be perpendicular.

Parallel lines have the same slope or steepness. be perpendicular.

Is it possible for lines not to intersect and not be parallel either?

Believe it or not, this is possible. parallel either?Let’s consider a 3-dimensional rectangular prism.

These 2 lines are not parallel, but they are not intersecting either.

These lines are called skew lines. intersecting either.

A skewer raises your “dinner” off the surface of the grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

Lines can be… grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

intersecting

skew

parallel

perpendicular

90º

A plane grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

is a flat

surface that has

length & width

but no height.

You can see a plane only if you view it at a certain angle. grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

A true plane goes on forever in all directions. grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

A true plane goes on forever in all directions. grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

A true plane goes on forever in all directions. grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

Planes can… grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

Planes can grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

intersect.

An X-Wing fighter from Star Wars has wings that intersect. grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

Planes can grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

be perpendicular.

Planes can grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

be parallel.

A Tie Fighter from Star Wars has wings that are parallel. grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

Planes can be… grill. The skewer does not intersect the grill, and the skewer is not parallel to the grill.

intersecting

parallel

perpendicular

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