Question

Maria wrote the sentence shown below.

“If two lines intersect, then they intersect in exactly one point“

Which of these statements is true about Maria’s sentence?

It is a theorem because it is a true statement which can be proved.

It is a postulate because it is a statement which is assumed true without proof.

It is a postulate because it is a true statement which can be proved.

It is a theorem because it is a statement which is assumed true without proof.

Answer 1

@annas, that's incorrect as a line can overlap another line, thus, intersecting at an infinite amount of points.

It is a postulate because it is a statement which is assumed true without proof.

Answer 2

An intersection is a single point where two lines meet or cross each other.
for proof u can check the following link
http://www.mathopenref.com/intersection.html

Answer 3

whos the right one please help me out.

Answer 4

so whatts the answer?

Answer 5

It is a theorem because it is a true statement which can be proved.?

Answer 6

No. It's a postulate.

Answer 7

Points of intersection do not have to be limited to one point, if that was the case, all functions would only intersect in one point.

Answer 8

For example: a line and a parabola.


With that logic, you would disregard one of those points, which doesn't make sense, since clearly there are 2 points of intersection.