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Mathematics 13 Online
OpenStudy (anonymous):

two distinct planes __________ intersect in a pair of lines ALWAYS NEVER SOMETIMES I THINK SOMETIMES

Directrix (directrix):

If you say "sometimes," then you need to show a time that the planes do and a time that the planes don't.

OpenStudy (anonymous):

but would i be correct? because you could have two planes, and a point on each without a line connecting them

Directrix (directrix):

Look at the file photo attached below. That's one way two planes can intersect.

Directrix (directrix):

but would i be correct? because you could have two planes, and a point on each without a line connecting them -------------------- No. The question has to do with "intersect in a pair of lines," not points. There should be some postulates in your text that tell you about the relationships of planes and points and lines and all that.

OpenStudy (anonymous):

oh. so its always//

Directrix (directrix):

Have you read those postulates? Quoting from my Geometry book, "If two distinct planes intersect, then exactly one plane contains the lines."

Directrix (directrix):

"a pair of lines" is TWO lines. The postulate says the intersection is how many lines?

OpenStudy (anonymous):

false

Directrix (directrix):

If by "false," you mean "never" then I agree with you.

OpenStudy (math2400):

agree never it is

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