You are given the steps for using a compass and a straightedge to construct a perpendicular to a given line through a point not lying on the given line. Arrange the steps in the proper sequence
Geometry

Respuesta :

Place compass needle  on external point R

Make compass width greater than distance from R to given line

Draw arc cutting given at 2 points

Mark / label points of intersection P and Q

Don't change compass width, move compass needle to Q, draw another arc below line crossing previous arc

Move compass needle to P , make arc below line

Mark / label point of intersection S.

Draw line from external point R to point where arcs intersect, S

Line RS is perpendicular to line PQ and passes thru external point R


The steps in the proper sequence Geometry below:

Perpendicular to a point:

A line is said to be perpendicular to another line if the two lines intersect at a right angle. Explicitly, a first line is perpendicular to a second line if (1) the two lines meet, and (2) at the point of intersection the straight angle on one side of the first line is cut by the second line into two congruent angles.

The procedure:

Place compass needle  on external point R

Make compass width greater than the distance from R to a given line

Draw arc cutting given at 2 points

Mark/label points of intersection P and Q

Don't change compass width, move the compass needle to Q, and draw another arc below the line crossing the previous arc

Move compass needle to P, make arc below the line

Mark/label point of intersection S.

Draw line from external point R to point where arcs intersect, S

Line RS is perpendicular to line PQ and passes thru external point R

Learn more about perpendicular line:

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