science space and astronomy

# How do you construct a perpendicular line with a compass?

21
Construct: a line through P perpendicular togivenline.
1. STEPS:
2. Place your compass point on P and swing an arc ofanysize that crosses the line twice.
3. Place the compass point on one of the two locationswherethe arc crossed the line and make a small arc belowtheline (on the side where P is not located).

Similarly, you may ask, how do you construct a perpendicular line through a point?

To drop a perpendicular from a point to a line

1. open the compass a distance larger than theperpendiculardistance from the point to the line, and scribe an arcintersectingthe line at two points.
2. Call the two points B and C. Scribe arcs from B and C ofthesame radius on the other side of the line from A.

Furthermore, how do you know if lines are perpendicular? Explanation: Two lines are perpendicular ifandonly if their slopes are negative reciprocals. To findtheslope, we must put the equation into slope-intercept form, ,whereequals the slope of the line.

Keeping this in consideration, how do you construct a parallel line?

Method 1 Drawing Perpendicular Lines

1. Locate the given line and the given point.
2. Draw an arc that intersects the given line at twodifferentpoints.
3. Draw a small arc opposite the given point.
4. Draw a another small arc intersecting the previous one.

What's the difference between parallel and perpendicular?

Parallel lines have the same slope and willneverintersect. Parallel lines continue, literally,foreverwithout touching (assuming that these lines are on the sameplane).On the other hand, the slope of perpendicular linesare thenegative reciprocals of each other, and a pair of theselinesintersects at 90 degrees.

Explainer

## What is a perpendicular line in math?

Perpendicular means "at right angles".Aline meeting another at a right angle, or 90° is saidtobe perpendicular to it. In the figure above, thelineAB is perpendicular to the line DF. Ifthey met atsome other angle we would say that AB meetsDF'obliquely'.

Explainer

## What is a perpendicular bisector?

A perpendicular bisector of a line segment isaline segment perpendicular to and passing throughthemidpoint of (left figure). The perpendicular bisector ofaline segment can be constructed using a compass by drawingcirclescentered at and with radius and connecting theirtwointersections.

Pundit

## What is an example of a perpendicular bisector?

For example, you can use aperpendicularbisector to construct a triangle that has twoequal lengthsides, known as an isosceles triangle. The point whereall threeperpendicular bisectors intersect is calledthecircumcenter. Using this center point, we can draw a circlethatpasses through all three vertices.

Co-Authored By:

11

9th May, 2020

101