explain about three basic constructions along with step of construction
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Answer: construction of sphere, construction of triangle., construction of quadrilateral
Step-by-step explanation:
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Answer:
Step-by-step explanation:
1. Construction of a bisector of a given angle
Construction:
- With A as a centre and using compasses, draw an arc that cuts both rays of A.
- Label the points of intersection as B and C.
- Now with B as a centre, draw (in the interior of A) an arc whose radius is more than half the length BC.
- With the same radius and with C as a centre, draw another arc in the interior of A.
- Let the two arcs intersect at D
- So we get AD as the required bisector of A.
2. Construction of the perpendicular bisector of a given line segment.
Construction:
- Draw a line segment AB
- Now take A as a centre, using compasses, draw a circle.
- The radius of your circle should be more than half the length of AB.
- With the same radius and with B as a centre, draw another circle using compasses.
- Let it cut the previous circle at C and D.
- Join CD so it cuts AB at O.
- O is the midpoint of AB. Also, COA and COB are right angles.
- Therefore, the CD is the perpendicular bisector of AB.
3. Construction of 60° Angle
Construction:
- Take a ruler and draw a line l and make a point O on it. Take a compass and put its one end at point O and draw an arc with any convenient radius.
- We take the centre O and draw an arc. We get the point A.
- Now take the compass and with the same orientation taking the point A as the centre draw an arc that passes through O. Draw an arc such that it intersects the existing arc.
- Here OA and OB are nothing but the radius which is equal in length.
- So actually we are trying to draw an equilateral triangle which means the angle we see in the above construction is 60 degree.
- We get ∠BOA which measures 60 degrees.
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