Advertisements
Advertisements
प्रश्न
Draw a line segment of length 6 cm. Construct its perpendicular bisector. Measure the two parts of theline segment.
उत्तर
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
संबंधित प्रश्न
In each of the following, draw perpendicular through point P to the line segment AB :
(i)
(ii)
(iii)
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
Infinitely many perpendicular bisectors can be drawn to a given ray.
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?
Bisect ∠XYZ of figure.
Draw an angle of 60° using ruler and compasses and divide it into four equal parts. Measure each part.
Bisect a straight angle, using ruler and compasses. Measure each part.
Repeat Question 6, if `overline"AB"` happens to be a diameter.
Draw any angle with vertex O. Take a point A on one of its arms and B on another such that OA = OB. Draw the perpendicular bisectors of `overline"OA"` and `overline"OB"`. Let them meet at P. Is PA = PB ?
