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How do you find the midpoint of a line segment graphed on a coordinate plane?
To find the midpoint of a line segment on a coordinate plane, you can use the midpoint formula. If the endpoints of the segment are given as ((x_1, y_1)) and ((x_2, y_2)), the midpoint ((M_x, M_y)) is calculated as (M_x = \frac{x_1 + x_2}{2}) and (M_y = \frac{y_1 + y_2}{2}). This formula gives you the coordinates of the point that is exactly halfway between the two endpoints.
Can a line have a midpoint or bisector?
If you mean a line segment, then yes, every line segment has a midpoint. However, some ideas of a line define it as going on forever in a certain plane, so if is it a line without beginning or end, then it can't really have a midpoint since there is nothing to measure from. You would have to define a starting and ending point before it could have a midpoint.
What is an example of midpoint?
An example of a midpoint is the point that divides a line segment into two equal parts. For instance, if a line segment connects the points A(2, 3) and B(6, 7) in a coordinate plane, the midpoint M can be calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2). In this case, the midpoint M would be (4, 5).
Can two planes intersect in a ray or a segment explain why?
In 3d space, two planes will always intersect at a line...unless of course they are the same plane (they coincide). Because planes are infinite in both directions, there is no end point (as in a ray or segment). So, your answer is neither, planes intersect at a line.
Given two points A and B in the three dimensional space what is the set of points equidistant from A and B?
A plane is the set of all points in 3-D space equidistant from two points, A and B. If it will help to see it, the set of all points in a plane that are equidistant from points A and B in the plane will be a line. Extend that thinking off the plane and you'll have another plane perpendicular to the original plane, the one with A and B in it. And the question specified that A and B were in 3-D space. Another way to look at is to look at a line segment between A and B. Find the midpoint of that line segment, and then draw a plane perpendicular to the line segment, specifying that that plane also includes the midpoint of the line segment AB. Same thing. The set of all points that make up that plane will be equidistant from A and B. At the risk of running it into the ground, given a line segment AB, if the line segment is bisected by a plane perpendicular to the line segment, it (the plane) will contain the set of all points equidistant from A and B.
A segment line or plane that intersects a segment at its midpoint?
A Segment Bisector
What segment line or plane that intersects a segment at its midpoint?
It is a bisector.
What are perpendicular bisectors?
A line that is perpendicular to the segment of a plane and passes through the midpoint.
How do you find the midpoint of a line segment graphed on a coordinate plane?
To find the midpoint of a line segment on a coordinate plane, you can use the midpoint formula. If the endpoints of the segment are given as ((x_1, y_1)) and ((x_2, y_2)), the midpoint ((M_x, M_y)) is calculated as (M_x = \frac{x_1 + x_2}{2}) and (M_y = \frac{y_1 + y_2}{2}). This formula gives you the coordinates of the point that is exactly halfway between the two endpoints.
What is midpiont formula?
The midpoint formula is a formula used to find the midpoint of a line segment on a coordinate plane. It is calculated by averaging the x-coordinates of the endpoints and averaging the y-coordinates of the endpoints. The midpoint can be seen as the point that divides the line segment into two equal parts.
Can a line have a midpoint or bisector?
If you mean a line segment, then yes, every line segment has a midpoint. However, some ideas of a line define it as going on forever in a certain plane, so if is it a line without beginning or end, then it can't really have a midpoint since there is nothing to measure from. You would have to define a starting and ending point before it could have a midpoint.
What is parallel planes?
Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect
What is an example of midpoint?
An example of a midpoint is the point that divides a line segment into two equal parts. For instance, if a line segment connects the points A(2, 3) and B(6, 7) in a coordinate plane, the midpoint M can be calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2). In this case, the midpoint M would be (4, 5).
Can two planes intersect in a ray or a segment explain why?
In 3d space, two planes will always intersect at a line...unless of course they are the same plane (they coincide). Because planes are infinite in both directions, there is no end point (as in a ray or segment). So, your answer is neither, planes intersect at a line.
Given two points A and B in the three dimensional space what is the set of points equidistant from A and B?
A plane is the set of all points in 3-D space equidistant from two points, A and B. If it will help to see it, the set of all points in a plane that are equidistant from points A and B in the plane will be a line. Extend that thinking off the plane and you'll have another plane perpendicular to the original plane, the one with A and B in it. And the question specified that A and B were in 3-D space. Another way to look at is to look at a line segment between A and B. Find the midpoint of that line segment, and then draw a plane perpendicular to the line segment, specifying that that plane also includes the midpoint of the line segment AB. Same thing. The set of all points that make up that plane will be equidistant from A and B. At the risk of running it into the ground, given a line segment AB, if the line segment is bisected by a plane perpendicular to the line segment, it (the plane) will contain the set of all points equidistant from A and B.
Can the lines of a plane intersect?
All non-parallel lines in a plane will intersect at some point in the plane.
Which of these does NOT intersect plane GWB?
plane FJN
