Question

Ria plotted four points P, Q, R, and S on the chalkboard and joined segment PQ and segment RS using straight lines, as shown.

Ria made the following statements about the points.

Statement 1: Point P and Point Q are contained on one line.
Statement 2: segment PQ and segment RS intersect at only one point.

Which chart best justifies Ria’s statements?

Answer 1

Answers

Statement
Justification
1
Postulate: If a point lies outside a line, then exactly one plane contains both the line and the point.
2
Theorem: If two lines intersect, then they intersect in exactly one point.


Statement
Justification
1
Theorem: Through any two points there is exactly one line.
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: Through any three non collinear points, there is exactly one plane.

Answer 2

@vinnv226 Do you have any ideas? i see you looking.

Answer 3

Honestly it's been a while since I've taken geometry, and even then, it was among my weaker math subjects. I don't think I'm much help on this one

Answer 4

Okay, I just really need help with this. but thanks anyways!

Answer 5

@Ilovemeowmeow

Would you check and see if you wrote the options correctly?
Should there be a fourth option? Thanks.