Page 206 - Maths Class 06

C

Step 1. Tak ing A as cen tre and any con ve nient ra dius, draw an arc cut ting D
the arms of ÐCAB at point D and E.
A
E B
Fig. 14.35

¾®
Step 2. Draw a ray PQ, with P as the cen tre and the same ra dius as above, draw
¾® P S Q
an arc cut ting ray PQ at S.
Fig. 14.36

Step 3. Tak ing S as the cen tre and ra dius equal to DE as in Fig. 14.37, draw an
arc in ter sect ing pre vi ous arc at a point T. P S Q
Fig. 14.37

R
¾®
Step 4. Join PT and pro duce it to form a ray PR.
T
Step 5. ÐRPQ is the re quired an gle equal to ÐCAB.
Step 6. Ver ify it by mea sur ing the an gles us ing pro trac tor. P S Q
Fig. 14.38

Bisector of a Given Angle

Given : An an gle CAB
B

To con struct : Bi sec tor of ÐCAB.

C B
A
Fig. 14.39

D
Step 1. Tak ing A as the cen tre and with any suitable radius, draw an arc cut ting
¾® ¾®
the arms AB and AC of ÐCAB at D and E respectively.
A C
E
Fig. 14.40
R

Step 2. Tak ing D as the cen tre and any ra dius more than half of DE, draw an
arc. D

A C
E
Fig. 14.41
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