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When three points lie on a line you can say that one of them is the other two?
When three points lie on a line, one point can be expressed as a linear combination of the other two. This means that if you have points A, B, and C on the same line, one point (say C) can be represented as a weighted average of the other two points (A and B). However, it does not imply that one point is literally the same as the other two, only that it can be derived from them geometrically.
True or false p lies in plane b the line containing p and q must lie in plane b?
False. In order for the line PQ to lie in plane B, then both P and Q must lie in plane B.
What do we call points A B and C are on the same line?
They are collinear points that lie on the same line
How many lines can pass through a and b?
One line only. This is because by definition a line only needs two points. Three points not in a line would make a plane when connected. Two points, when connected, form a line in which there is only one way to pass through points a and b.
If points a and b lie on the same line what are they called?
We use the word "collinear" to mean points on the same line.
Points A B and C lie along the same line What can these points be called?
Collinear.
Why can't a line segment only have one midpoint?
a line segment has only one midpoint "C" but the two sections AC and CE can have their own midpoint "B" and "D" and so on... A B C D E
What is another way to name line ℓ?
Another way to name line ℓ is by using two points that lie on the line, such as points A and B, expressed as line AB. Alternatively, you can also name it using a single lowercase letter, if one is assigned, such as line m.
Are two lines that lie in parallel lines always parallel?
Yes, two lines that lie in parallel to the same line are always parallel to each other. This is based on the Transitive Property of Parallel Lines, which states that if line A is parallel to line B, and line B is parallel to line C, then line A is parallel to line C. Thus, if two lines are both parallel to a third line, they must be parallel to each other.
Which of the following statements is truePlane X and line n intersect.Points A and B lie on plane Y.Planes X and Y appear to intersect.Points A, B, and C are collinear.?
Plane X and line n intersect.
Where do all the points on a plane equidistant from the endpoints of ab lie?
All points on a plane that are equidistant from the endpoints of a line segment ( ab ) lie on the perpendicular bisector of the segment. This line bisects ( ab ) at a right angle and includes all points that are the same distance from both endpoints ( a ) and ( b ). Therefore, any point on this line is equidistant from ( a ) and ( b ).
How is a line line segment and a ray different?
line segments have two definite points, A and B, a ray has has only one definite point and the over indefinite point is a continuous line
