CONSTRUCTIONS
P
R
Q
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15
Y
Z
A
B
Bl
Al
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X
Consider ∠PQR
Let us draw ∠XYZ equal to ∠PQR
Now, Consider
Radius = AB,
Draw ray YZ
‘Q’ as centre and any suitable radius, draw an arc intersecting ray QP and QR at A and B respectively
Y as centre and same radius draw an arc intersecting ray YZ at B'
B ' as centre, cut the previous arc
Join Y and A'
∠PQR = ∠XYZ
To construct an angle equal to the given angle.
BASIC CONSTRUCTIONS
×
×
6 cm
B
A
6 cm
A1
A2
A3
A4
A5
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15
1
2
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15
1
2
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7
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14
15
X
1
2
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9
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15
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15
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15
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2
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15
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B1
B2
B3
B4
Q. Draw a line segment AB of length 6cm and divide it into
5 equal parts.
P
Q
R
S
T
U
V
W
Y
Z
A
B
B1
B2
B3
B4
Rough figure
Draw seg AB = 6cm
Draw ray AX
Considering any suitable radius, draw 5 arcs on ray AX
Draw A5B
A5 as centre, and any suitable radius draw an arc
Repeat same procedure at A4, A3, A2 and A1
Now consider Radius = PQ
R as centre cut an arc, and mark that point S
T as centre cut an arc, and mark that point U
V as centre cut an arc, and mark that point W
Y as centre cut an arc, and mark that point Z
Draw A4S intersecting AB at B4
Draw A3U intersecting AB at B3
Draw A2W intersecting AB at B2
Draw A1Z intersecting AB at B1