Page 264 - Start Up Mathematics_6

Perpendicular Bisector of a Line Segment
A B
Let’s learn how to construct a perpendicular bisector
of a given line segment AB using a ruler and compass.
Steps of construction P
1. With A as the centre and radius more than half of
AB, draw arcs one on either side of AB.
A B
2. With B as the centre and the same radius as above,
draw arcs cutting the previously drawn arcs at P and
Q respectively. Q

P

3. Join P and Q to obtain the perpendicular A B
bisector of AB.

Q

EXERCISE 14.2

1. Draw a line segment of length 8 cm. Use a ruler and compass to construct a perpendicular
on a point P lying on the line segment 3 cm from one end.

2. Draw any line segment AB. Take a point P not on it. Through P, draw a perpendicular to
AB using a ruler and compass only.
3. Draw a line segment of length 9.2 cm. Construct its perpendicular bisector. Measure the two
parts in which the perpendicular bisector divides the line segment. What do you observe?

4. Draw a circle of radius 3.8 cm. Draw any two of its chords. Construct the perpendicular
bisectors of these chords. Where do they intersect?

5. Draw a line segment AB of length 10 cm. Draw perpendiculars at the end points of AB.
Are these two lines parallel?

Constructing an Angle Equal to a Given Angle
Let there be an ∠A of unknown measure.

Steps of construction

1. Draw a ray PQ. P Q

A

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