How To Construct A Perpendicular Bisector
In particular this video highlights how students can use a compass and straightedge to construct the perpendicular bisector.
How to construct a perpendicular bisector. Autoplay when autoplay is enabled. Adjust the compass to slightly longer than half the line segment length draw arcs above and below the line. The bisector will be a right angles to the given line. Set your compass so that it is slightly larger than half the length of the segment.
To construct a perpendicular bisector of a line segment you must need the following instruments. Construct arc d r intersecting arc c r at points g and h. Key concept perpendicular bisector. Adjust the compass with length a little more than half of the length of pq.
Similarly taking b as the centre and radius as in step 2 draw another. This both bisects the segment divides it into two equal parts and is perpendicular to it. This page shows how to construct a perpendicular to a line through an external point using only a compass and straightedge or ruler. The line drawn perpendicular through the midpoint of a given line segment is called the perpendicular bisector of the line segment.
Without changing the compass setting place the compass at point b and draw a set of arcs. The steps for the construction of a perpendicular bisector of a line segment are. The steps for the construction of a perpendicular. This video shows you how to construct a perpendicular bisector of a line segment using geogebra.
Construct a perpendicular bisector 1. Draw a line segment pq. This video teaches students how to construct a perpendicular bisector. You will require a ruler and compasses.
This construction shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. Construction of perpendicular bisector of a line segment step 1. Comments are turned off. Taking a as the centre and with any radius more than half of ab draw an arc on both side of ab.
The proof shown below shows that it works by creating 4 congruent triangles. Draw a line segment ab of length 55 cm. Finds the midpoint of a line segmrnt. Line gh is the perpendicular bisector of segment cd.
Place the compass at point a and draw a set of arcs above and below the line. How to construct a perpendicular bisector.