

Moreover, you can measure the length of a line segment, but not of a line. Also, it contains these endpoints and all the points of the line between them. Question 4: What are a line segment and a ray?Īnswer: Generally, a line segment refers to a line that has two endpoints. if the end point s were A and B, then we can write your line segment AB with a line over the top. The perpendicular bisector always divides the segment into 2 equal parts.Īnswer:We can write a line segment using the letters for each of the endpoints and a line over the top of the letters.

Question 2: If PQ is the perpendicular bisector of AB then PQ divides AB in the ratio:Īnswer : D. Ruler and Compass are used to construct a line segment. Question 1: To construct a line segment of a given length, which of the following pairs of instruments are needed?Īnswer : B. Also, COA and COB are right angles and so CD is the perpendicular bisector of AB.

It cuts AB at O as O is the midpoint of AB. Let it cut the previous circle at C and D. Now, take B as a centre and draw a circle with the same radius using the compass.The radius of the circle should be more than half the length of AB. Now, take A as a centre and draw a circle using the compass.Now mark the intersecting point of two arcs as F and join the points A and F.From D and E draw two equidistant arcs on the opposite side of the line.From A draw equidistant arcs to cut the lines and now mark points as D and E.draw a line with the ruler and take a point A outside the line.Mark intersecting point of arcs as S and Join S and P.Ĭonstruct perpendicular to a line from a given point outside the line.Now taking Qand R as the centres and the radius greater than QP construct two arcs.Name intersecting points of the lines and arcs as Q and R.Take a compass and with P as the centre take a convenient radius from and make an equidistance arc on the line.Draw a line l with a ruler and mark a point P on the line.So the distance of this constructed line will be the same as that of the given line segment.Ĭonstruct the Perpendicular to a line through a point on it

