Constructs following figures using a scale and a compass.
1. Draw a perpendicular bisector of a line segment having length of 9 cm.
2. Construct an angle of 60˚. 3. Draw a circle of radius 3 cm.
Answers
Given : a scale and a compass
a line segment having length of 9 cm
To Find : Draw a perpendicular bisector of a line segment having length of 9 cm
Solution:
Step 1 : Draw a line segment AB = 9 cm
Step 2 : Using suitable width of compass ( more than half of AB ) and taking A as center draw arcs on both sides of AB
Step 3 : Keeping compass width same and taking B as center , draw arcs , intersecting arcs drawn in previous step at M and N
Step 4 : Draw a line passing through M and N , intersecting AB at O
line MON is Perpendicular bisector of AB
AO = BO = 9/2 = 4.5 cm
Step 1 : Draw a line segment AB
Step 2 : Using suitable compass width and taking A as center draw an arc intersecting AB at C
Step 3 : Keeping compass width same and taking c as center cut the arc at D
Step 4 : draw a ray AX passing through D
∠BAX = 60°
Take a point O
and using compass width = 3 cm and taking O as center draw a circle.
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Answer:
Step-by-step explanation: