easy geometry questions?

Question

Classify each statement as true or false, and explain your reasoning in each false case.
1. One line contains exactly two points
2. the intersection of two planes is a line
3. three lines can intersect at more than one point

thanks in advance!

Answer 1

1.False.There are infinite no of points in a straight line
2.True
3.false,If the lines are straight,two lines can intersect at only a single point.There is no question of three lines intersecting at more than one point

Answer 2

Hi,

1) False A line contains an infinite number of points, but you only need to know 2 of them to be able to determine its equation.

2) True Think of 2 walls coming together in the corner of a room. They form a vertical line in that corner where they intersect.

3) False if they must all intersect at the same point. True, if that means that any 2 of 3 lines can intersect at one point. If only 2 of the 3 lines have to be at any intersection, you can have 2 or 3 intersections as shown below.

.........\/ 3 lines intersect at 3 different points, 2 lines at each
......../.\
___/__\___
...../........\

____\/____ All 3 lines intersect at one point
........./.\
......./....\


--------/------- 3 lines intersect in 2 points if 2 lines are parallel
........./
......../
-----/---------

I hope that helps!! :-)

Answer 3

1. a line is a continuation of points, but has 2 END points.
==>false
2. true
3. if the lines are on the same plane, true. if not, false.

Answer 4

1. false a line has an infinite number of points
2. true
3. false

Answer 5

Ok' let's see,

1. Incorrect: a line is an infinite collection of points
2. Correct.
3. Incorrect...the solution is a discrete point (x1,y1,z1) that is the solution for all three lines simultaneously.

Good luck!

Answer 6

1. false.......... infinite no of pts on a line.

2. true

3. false...........3 straight lines can only intersect at one point

Answer 7

1. false

2. true

3. true, they can all be on the same line

Answer 8

false
true
false