Advertisements
Advertisements
Question
Draw a line segment of length 6 cm. Construct its perpendicular bisector. Measure the two parts of theline segment.
Solution
Steps of construction:
(i) Draw a line segment AB = 6 cm
(ii) With centre A and radius more than `1/2 (AB)` draw the arcs on each side of AB.
(iii) With centre B and same radius draw the arcs on each side of AB, which cuts the previously drawn arcs at X and Y.
(iv) Join XY which cuts the line segment AB at O.
Thus XY is the perpendicular bisector of AB.
On measuring the two parts, we get AO = OB = 3 cm.
APPEARS IN
RELATED QUESTIONS
Draw a line segment AB = 6.2 cm. Mark a point P in AB such that BP = 4 cm. Through point P draw perpendicular to AB.
Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass
5.6 cm
It is possible to draw two bisectors of a given angle.
Draw the images of points A and B in line l of figure and name them as A’ and B’, respectively. Measure AB and A’B’. Are they equal?
Draw a line segment of length 7 cm. Draw its perpendicular bisector, using ruler and compasses.
Draw a line segment of length 6.5 cm and divide it into four equal parts, using ruler and compasses.
Copy figure on your notebook and draw a perpendicular from P to line m using (i) set squares (ii) protractor (iii) ruler and compass. How many such perpendicular are you able to draw?
Draw an angle of 60° using ruler and compasses and divide it into four equal parts. Measure each part.
Draw a line segment of length 9.5 cm and construct its perpendicular bisector.
Draw a circle with centre C and radius 3.4 cm. Draw any chord `overline"AB"`. Construct the perpendicular bisector of `overline"AB"` and examine if it passes through C.
