Question

Alex plots 4 points K, L, M, and N. He joins points K and L and points M and N with straight lines as shown.
Alex made the following statements about the points.
Statement 1: KL and MN intersect on the same plane.
Statement 2: KL and MN intersect at point P.
Which chart best justifies Alex’s statements?
Statement
Justification
1
Postulate: If two lines intersect, then they intersect in exactly one point.
2
Theorem: If two distinct planes intersect, then they intersect in exactly one line.

Statement
Justification
1
Postulate: If two distinct points are given, then a unique

Answer 1

@Gabylovesyou

Answer 2

@jim_thompson5910 help my friend please :) im in the middle of an interview and i cant :p

Answer 3

something seems missing or cut off here

Answer 4

let me re write it again then sorry

Answer 5

Alex plots 4 points K, L, M, and N. He joins points K and L and points M and N with straight lines as shown.



Alex made the following statements about the points.

Statement 1: KL and MN intersect on the same plane.
Statement 2: KL and MN intersect at point P.

Which chart best justifies Alex’s statements?

Answer 6

Statement
Justification
1
Postulate: If two lines intersect, then they intersect in exactly one point.
2
Theorem: If two distinct planes intersect, then they intersect in exactly one line.

Statement
Justification
1
Postulate: If two distinct points are given, then a unique line contains them.
2
Theorem: If two lines intersect, then they intersect in exactly one point.

Statement
Justification
1
Theorem: If two lines intersect, then exactly one plane contains both lines.
2
Postulate: If two lines intersect, then they intersect in exactly one point.

Statement
Justification
1
Postulate: Through any two points, there is exactly one line.
2
Theorem: If two distinct planes intersect, then they intersect in exactly one line.

Answer 7

It's either b or c because you need the theorem "If two lines intersect, then they intersect in exactly one point" to get point P

Answer 8

@jim_thompson5910 is right.. that's for the second statement .. it's c because you also need the theorem "Theorem: If two lines intersect, then exactly one plane contains both lines" to prove the first statement

Answer 9

Thank you

Answer 10

yw :)