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How do you find a point which is equidistant from two other points?

-- Draw a line segment from one point to the other.-- Construct the perpendicular bisector of the line segment..-- Every point on the perpendicular bisector of the line segmentis equidistant from the two original points.==========================================================================Whereupon the first contributor observed:Yes, that works, no matter how you set the compass, as long as it's more than 1/2 the distancebetween the two points. Every setting of the compass will give you a pair of points that areequal distances from the original two. As you find more and more of them ... with differentsettings of the compass ... you'll see that all the equal-distance points you're finding all lieon the same straight line. That line is the perpendicular bisector of the line between the twooriginal points, just as we described up above.


What is the perpendicular line segment construction?

The perpendicular line segment construction involves creating a line segment that meets another line at a right angle (90 degrees). This is typically done using a compass and straightedge. First, a point is marked on the line where the perpendicular will intersect. Then, arcs are drawn from this point to establish two points equidistant from it, allowing the straightedge to connect these points, forming a perpendicular line.


How would the construction be different if the compass point were placed at random points on the original line?

If the compass point were placed at random points on the original line, the resulting arcs would vary in radius and location, leading to potentially unpredictable intersections. Each arc would depend on the specific placement of the compass point, resulting in a non-uniform distribution of constructed points. This method could create a more chaotic geometric figure rather than a precise, symmetrical design typically achieved with consistent compass placements. Overall, the construction would lack the intended geometric properties associated with traditional methods.


How many points do perpendicular lines share?

Perpendicular lines will only share one point: the point of intersection, where the two lines meet.


What is the locus point equidistant from two points AB that are 8 cm apart?

The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.

Related Questions

What direction does a wire point towards when a compass is placed nearby?

When a compass is placed near a wire, the wire points in the direction of the magnetic field created by the electric current flowing through the wire.


How do you find a point which is equidistant from two other points?

-- Draw a line segment from one point to the other.-- Construct the perpendicular bisector of the line segment..-- Every point on the perpendicular bisector of the line segmentis equidistant from the two original points.==========================================================================Whereupon the first contributor observed:Yes, that works, no matter how you set the compass, as long as it's more than 1/2 the distancebetween the two points. Every setting of the compass will give you a pair of points that areequal distances from the original two. As you find more and more of them ... with differentsettings of the compass ... you'll see that all the equal-distance points you're finding all lieon the same straight line. That line is the perpendicular bisector of the line between the twooriginal points, just as we described up above.


What is the perpendicular line segment construction?

The perpendicular line segment construction involves creating a line segment that meets another line at a right angle (90 degrees). This is typically done using a compass and straightedge. First, a point is marked on the line where the perpendicular will intersect. Then, arcs are drawn from this point to establish two points equidistant from it, allowing the straightedge to connect these points, forming a perpendicular line.


Where will a compass point if you face south?

If you point the north side of the compass away from you the compass will point south. Because the needle always points north (magnetism).


What does a compass needle point do?

It points to true north.


Where does a compass point during winter?

Compass points always towards Earth's magnetic north.


What way will a compass point in Uruguay?

the compass would point north because it Always points north unless you are at the north pole. :)


Do perpendicular lines intersect in at least two points?

Perpendicular lines intersect at one point only.


How many points do perpendicular lines share?

Perpendicular lines will only share one point: the point of intersection, where the two lines meet.


Why does a compass point in different directions?

Its ovious why a compass points in different directions. For example, if your going north, the compass points north because your going that direction. Theres also a magnet concealed in the compass. How does the compass know what direction yoiur going. Earth it self is a magnet. When you head that direction, it will point


Joaquin is constructing the perpendicular bisector of line AB. What should be his first step?

Place the point if the compass on point B and draw an arc across AB.


Which is the point to which a compass always points?

The point to which a compass always points is the magnetic North Pole. This is because the compass needle aligns itself with the Earth's magnetic field, which is directed towards the magnetic North Pole.