Advertisements
Advertisements
Question
Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass
8 cm
Advertisements
Solution
Construction:
Step 1: Drawn a line. Marked two points A and B on it so that AB = 8 cm
Step 2: Using compass with A as centre and radius more than half of the length of AB, drawn two arcs of the same length one above AB and one below AB
Step 3: With the same radius and B as centre drawn two arcs to cut the arcs drawn in step 2.
Marked the points of intersection of the arcs as C and D.
Step 4: Joined C and D, CD intersect AB. Marked the point of intersection as ‘O’.
CD is the required perpendicular bisector of AB.
AO = OB
= `8/2`
= 4 cm, ∠AOC = 90°
APPEARS IN
RELATED QUESTIONS
Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass
10.4 cm
Infinitely many perpendicular bisectors can be drawn to a given ray.
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 an angle of 140° with the help of a protractor and bisect it 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?
Copy figure on your notebook and draw a perpendicular to l through P, using (i) set squares (ii) protractor (iii) ruler and compass. How many such perpendiculars are you able to draw?
Bisect a right angle, using ruler and compasses. Measure each part. Bisect each of these parts. What will be the measure of each of these parts?
Draw a line segment of length 6 cm. Construct its perpendicular bisector. Measure the two parts of the line segment.
Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement.
What is the minimum compass opening required when constructing a perpendicular bisector of line segment AB?
