Two Distinct Lines Intersect in More Than One Point.

Through any two points there is exactly one line. This answer has been confirmed as correct and helpful.

Pin On New Home Ideas

By Axiom 3 this line must contain two points but one of our six lines will already share those same two points contradicting Axiom 2.

. By Axiom 2 any pair of two lines share exactly one line. Always sometimes never Weegy. Two lines NEVER intersect in more than one point.

Then by postulates and if you consider any 2 of the points m and l must both be the same line. Match each equation with the operation you can use to solve for the variable. A line and a point not on the line lie in more than one plane.

But here we assumed both l 1 l 2 pass through P Q. On a plane though two points define a unique line. Two distinct lines cannot have more than one point in common.

See answer 1 Best Answer. Two lines intersect in more than one point. We can see that the green line intersects the two red straight lines and makes interior angles α β У and δ.

Two lines intersect in more than one point. 1 They cannot intersect in 0 points otherwise they would not intersect. So if twolines intersect.

You are correct that the two lines may not be distinct and therefore intersect in infinite points but theres also the possibility that the two lines are distinct from each other but are parallel and thus would never intersect at all. If the lines are parallel they do not intersect. So you have two lines passing through two distinct points P and Q.

It is impossible that two distinct lines intersect in more than one points. Assume we have a seventh. Correct answer to the question Can two distinct lines intersect in more than one point.

Suppose lines m and l intersect in more than 1 point or 0 points. In the coordinate system the two axes are considered as perpendicular to each other and the point of intersection is called the origin. Correct answer to the question Can two distinct lines intersect in more than one point.

Thus this geometry has exactly six lines. 2 Now suppose m and l intersect in 2 or more points. Therefore Two distinct lines cannot have more than one point in common.

P is the point of intersection of the two red lines. So our assumption is wrong. But it is not necessary that the lines intersect.

5 If line p and line a intersect then their intersection is _____ a point. In general we can. If one of the line is not straight or both the lines are not straight than only they can intersect in more than one points.

Thus only one line passes through two distinct points P Q. Two distinct lines intersect in more than one point. If one of the line is not straight or both the lines are not straight than only they can intersect in more than one points.

Two intersecting lines lie in exactly one plane. Two lines intersect in more than one point. So we conclude that two distinct lines cannot have more than one point in common or tow distinct lines have 1.

So the assumption that we started with that two lines can pass through two distinct points is wrong. Any two distinct lines of longitude for example meet attwo points - the poles. But this assumption clashes with the axiom that only one line can pass through two distinct points.

For the time being let us suppose that the two lines intersect in two distinct points say P and Q. Can two distinct lines intersect in more than one point. Distinct points is wrong.

Click to see full answer. Two lines which are not coplanar cannot intersect and are called skew lines. If two distinct planes intersect.

We can see that the interior angles on the right hand side of the green line are α and У shown in blue color and those on its left hand side are β and δ shown in black color. But this assumption clashes with the axiom that only one line can pass through two distinct. Confirmed by jeifunk 912016 101502 AM s.

As shown in figure L and M are two straight lines and they intersect each other at only single point. If point X is between W and Y then WX XY WY. This gives us six lines.

By Axiom 1 there are exactly four points. 3 Three lines that intersect at exactly one point are_____ contained in one plane. It is impossible that two distinct lines intersect in more than one points.

If two distinct lines intersect then they intersect in exactly one point. We can see that the green line intersects the two red straight lines and makes interior angles α β У and δ. Considering this can two lines intersect at more than one point.

This means we have two lines passing through two distinct points P and Q. 6 Two distinct lines _____ intersect in more than one point. Here we proved that two lines cannot intersect at more than one point.

1 subtract 10 2 divide by 10 3add 18 4add 10 5 subtact 18 6multiply by 5. Two intersecting lines intersect in exactly one point. So the assumption that two lines can pass through two.

As shown in figure L and M are two straight lines and they intersect each other at only single point. 2 Two points are_____ collinear. In case of other lines they intersect exactly at one point.

Two straight line intersect each other at only one point as shown in figure. 4 Given plane M and plane N then their intersection is_____ a line. Two lines intersect in exactly one point.

Click hereto get an answer to your question State the following statement is True or FalseIf two distinct lines are intersecting each other in a plane then. P is the point of intersection of the two red lines. We can see that the interior angles on the right hand side of the green line are α and У shown in blue color and those on its left hand side are β and δ shown in black color.

Search for an answer or ask Weegy.

Geometry Maps Following A Set Of Directions Students Designed Maps To Include Parallel Lines Perpendicular Lines Obtuse A Math Math Geometry Homeschool Math

Theorems Triangle Abc Equality

Pin By Ashley Minton On Math Coach 3 5 Geometry Projects Math School Math Geometry