Construction of angles

Constructing angles of 90º and 45º

Procedure

(i) Draw a line AB.
(ii) Draw a perpendicular to AB at a suitable point P ∠APQ is 90 degrees.

Procedure

(i) Draw a line AB.
(ii) Draw a perpendicular to AB at a suitable point P ∠APQ is 90 degrees.

To construct 45 degrees bisect 90 degrees as shown below.

Constructing angles of 60º, 30º and 15º

Constructing 60º

Procedure

(i) Draw a line AB.

(ii) Draw an arc with centre A and of any radius to cut AB at N.

(iii) Draw another arc with centre N and radius AN to meet the other arc at M.

(iv) Draw AM, angle MAN = 60º.

To construct angle of 30º bisect 60º. To construct angle of 15º bisect 30º.

 

Procedure

(i) Draw line AB.
(ii) Construct 90 degrees at point P.
(iii) Construct 60 degrees at point P.
(iv) Bisect 30 degrees ∠TPB = 75 degrees

KCPE Topical Questions

Standard 4

Geometry

1. Which one of the following drawings shows the construction of 600 using a ruler and a pair of compasses?



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