Question

Find the value of $x$, if AB is the line segment and PQ is its perpendicular bisector.

• A. ${90}^{\circ }$
• B. 3.5 cm
• C. 3 cm

Answer 1

1.
As perpendicular bisector and line segment are perpendicular to each other, value of x = ${90}^{\circ }$


2.Perpendicular bisector divide the original line segment into two equal parts.
$\therefore x=\frac{7}{2}=3.5cm$

3. Every point on the perpendicular bisector is at the same distance from both end points of the line segment.
$\therefore x=3$ cm