PRACTICAL GEOMETRY
1. Divide a line segment of length 12.4 cm into 4 equal parts. 2. Draw an angle of measure 36 and bisect it.
3. Construct a circle of radius 3.5 cm. Draw its longest chord and construct its perpendicular bisector.
4. Draw three circles with the same centre and radii 1.5 cm, 2.6 cm and
4.1 cm. 5. Construct with ruler and compasses, angles of following measures:
(a) 60°_(b) 300 (c) 15° (d) 45° (e) 135 (1) 150°
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Answers
Answer:
Correct option is
A
3.1 cm
1. Draw a line segment of length 12.4 cm using a ruler.
Now we have to divide the length into four parts . So we have to divide the length by 4
Lenght of each part
4
12.4
=3.1 cm
2. Now open the compass to 3.1 cm and cut an arc on the line by placing the needle on one end on the line and mark the point as B.
3. Repeat the step 2. by placing the compass on point B
Length of each part =3.1 cm
So option C is correct.
Step-by-step explanation:
Draw a circle of radius r=3.5cm
Mark an arc of 6cm from any point on circle on the circumference.
Let M be the midpoint of chord AB
(Line passing through M and center O is the perpendicular bisector of chord AB)
MB=3cmOB=3.5cm
(OM)
2
+(MB)
2
=(OB)
2
OM=
(OB)
2
−(MB)
2
OM=
(3.5)
2
−3
2
OM=1.8027cm
Step-by-step explanation:
refer to the attachments