how to draw a perpendicular bisector from an angle - Maths - Constructions

Question

how to draw a perpendicular bisector from an angle?

Aishwarya · Accepted Answer

After doing this Your work should look like this Start with a line and point R which is not on that line Geometry construction with compass and straightedge or ruler or ruler or ruler

Step 1 Place the compass on the given external point R Geometry construction with compass and straightedge or ruler or ruler or ruler

Step 2 Set the compass width to a approximately 50% more than the distance to the line The exact width does not matter Geometry construction with compass and straightedge or ruler or ruler or ruler

Step 3 Draw an arc across the line on each side of R, making sure not to adjust the compass width in between Label these points P and Q Geometry construction with compass and straightedge or ruler or ruler or ruler

Step 4 At this point, you can adjust the compass width Recommended: leave it as is From each point P,Q, draw an arc below the line so that the arcs cross Geometry construction with compass and straightedge or ruler or ruler or ruler

Step 5 Place a straightedge between R and the point where the arcs intersect Draw the perpendicular line from R to the line, or beyond if you wish Geometry construction with compass and straightedge or ruler or ruler or ruler

Step 6 Done This line is perpendicular to the first line and passes through the point R It also bisects the segment PQ (divides it into two equal parts) Geometry construction with compass and straightedge or ruler or ruler or ruler

	After doing this	Your work should look like this
	Start with a line and point R which is not on that line.
Step 1	Place the compass on the given external point R.
Step 2	Set the compass width to a approximately 50% more than the distance to the line. The exact width does not matter.
Step 3	Draw an arc across the line on each side of R, making sure not to adjust the compass width in between. Label these points P and Q
Step 4	At this point, you can adjust the compass width. Recommended: leave it as is. From each point P,Q, draw an arc below the line so that the arcs cross.
Step 5	Place a straightedge between R and the point where the arcs intersect. Draw the perpendicular line from R to the line, or beyond if you wish.
Step 6	Done. This line is perpendicular to the first line and passes through the point R. It also bisects the segment PQ (divides it into two equal parts)