Question

Question 88

Draw a line segment of length 6 cm. Construct its perpendicular bisector. Measure the two parts of the line segment.

Answer 1

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of

Steps of construction are as follows:

Step I: Draw a line segment $\overline{PQ}$ = 6 cm

Step II: With P as centre and a convenient radius (more than $\frac{1}{2}\overline{PQ}$, draw an arc.

Step III: With Q as centre and same radius, draw another arc such that it intersects the previous arc at A and B.

Step IV: Join A and B.

Thus, $\overline{AB}$ is perpendicular bisector of $\overline{PQ}$

i.e. $OP=OQ=\frac{1}{2}\times PQ=\frac{1}{2}\times 6=3cm$