Draw a right angle and construct its bisector
Solution:
We will be using the concept of angles and bisector to solve this.
Steps of construction:
Step I: Draw a line segment AB on a plane sheet.
Step II: With B as the center, draw an arc that meets AB at C.
Step III: Take C as a center and mark two small arcs D and E on the former arc with the same radius.
Step IV: Take D and E as centers and with the same radius, draw two arcs that meet each other at point G.
Step V: Join points B and G such that ∠ABG = 90°
Step VI: Taking C and F as center and radius more than half of CF, draw two arcs that intersect each other at a point H.
Step VII: Join BH which is the angle bisector of ∠ABG such that ∠ABH = ∠HBG = 45°.
Hence, ∠ABG is the required right angle, and BH is the bisector of ∠ABG.
NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.6 Question 3
Draw a right angle and construct its bisector
Summary:
We have drawn a right angle ∠ABG and constructed its bisector BH with the help of some steps of construction.
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