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Q: What is the first step in constructing a perpendicular at a point on a line?

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

A line that is perpendicular to the given line and passes through the given point.

The foot of a perpendicular is the lowest part of the perpendicular [Kinda like the feet of people]||||_____^ This is the point where the foot of the perpendicular meets the line.

You construct a line perpendicular to the original and then a line perpendicular to this second line.

No. Well... kind of because they are both bisections. The difference is that the angle bisector splits an angle in half, while a perpendicular bisector creates a right angle from a horizontal line. They both "split" something in half.

Related questions

You construct a line perpendicular to the original and then a line perpendicular to this second line.

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

false

The perpendicular postulate states that if there is a line, as well as a point that is not on the line, then there is exactly one line through the point that is perpendicular to the given line.

It the point is on the line the distance is 0. If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.

A perpendicular bisector is a straight line that divides a side of a triangle in two and is at right angles to that side. An angle bisector is a straight line that divides an angle of a triangle in two.

The line perpendicular to a surface at a point is called the normal

The point

The shortest path is a line perpendicular to the given line that passes through the given point.

the length of a perpendicular segment from the point to the line

So that the arc is mid-way in perpendicular to the line segment

. . . is the segment perpendicular to the line.

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