perpendicular
-- Find the distance between the endpoint and the midpoint.-- Double that distance to get the length of the complete segment.-- When you're finished, sit quietly for a moment and ponder the meaning of "midpoint".
Adjust a compass so the distance between the point and the pencil is more than half of the length of the segment. With the point at one end of the segment draw an arc that intersects the segment. Without adjusting the compass, with the point at the other end of the segment draw an arc that intersects the first arc at two places. The line that includes those two intersecting points is the perpendicular bisector.
A point has no size: no length, breadth, width, height - nothing except location. It cannot contain anything so there cannot be a segment in a point.
When a line segment connecting two points is horizontal the length of the segment can be found by finding the absolute value of the difference in x-coordinates of the two points.
It depends on what information you do have.
The length of a line segment is called the distance. To find the distance, you need to know the coordinate of its endpoints given as (x1, y1) and (x2, y2) and the distance formula.
-- Find the distance between the endpoint and the midpoint.-- Double that distance to get the length of the complete segment.-- When you're finished, sit quietly for a moment and ponder the meaning of "midpoint".
You use the distance formula.
Adjust a compass so the distance between the point and the pencil is more than half of the length of the segment. With the point at one end of the segment draw an arc that intersects the segment. Without adjusting the compass, with the point at the other end of the segment draw an arc that intersects the first arc at two places. The line that includes those two intersecting points is the perpendicular bisector.
Vertical.
Compare the distance to a known length. Measure. If you know the coordinates of the two dots in an orthogonal coordinate system, use Pythagoras' theorem to find the distance. Say point 1 has coordinate (Ax,By) and point 2 has coordinate (Cx,Dy) then the distance between 1 and 2 is the square root of ((C-A)2 + (D-B)2))
A point has no size: no length, breadth, width, height - nothing except location. It cannot contain anything so there cannot be a segment in a point.
The distance formula providing you know the coordinates of its end points
Using the distance formula the length of the line segment from (10, -3) to (1, -3) is 9 units which means that the line segment is partitioned by 2 units and 7 units. To find the coordinates of point R plot the above information on the Cartesian plane.
3.9 and 2.6
-- square the point's x-coordinate -- square the point's y-coordinate -- add the two squares together -- take the square-root of the sum -- the answer is the distance of the point from the origin. This works because if you draw a line down from the point to the x-axis (length is y-coordinate), then along the x-axis to the origin (length is x-coordinate), and back to the point (length is distance), you just made a right triangle. Then you can use the Pythagorean Theorem to find the length of the long side (the distance) since you know the length of the two shorter sides.
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