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Construct an angle of and bisect it.
Answer
419.4k+ views
Hint: “Construction” is related to the geometric part in Mathematics. Geometry means the study of size, shapes, position angles, lines and dimensions. Here, we have to construct an angle of and then bisect this angle. This is a pure form of geometry, no numbers involved at all. We will need a pencil, a ruler and a compass to complete the given question.
Complete step-by-step answer:
To construct an angle of , we need to follow the mentioned below steps:
Step 1: Draw a line as a base of angle.
Step 2: Using compass, draw an arc of any radius taking as centre intersecting at point .
Step 3: Taking the compass at the same length, draw an arc with as centre, on the arc intersecting at point .
Step 4: Taking the same length of compass, draw again an arc taking as centre intersecting the arc at point .
Step 5: Taking any radius, draw two arcs with and as centres such that both the arcs intersect each other at
Step 6: Join such that the line intersects the arc at point . is the angle measuring
Step 7: Now, take and as centres and draw two arcs of any length such that both the arcs intersect each other at point .
Step 8: Join point and point such that the line intersects the arc at point . is the angle required measuring .
Now, to bisect the angle of , two mentioned below steps should be followed:
Step 9: Take & as centres and draw two arcs taking any radius such that both the arcs intersect each other at point .
Step 10: Join , is the angle bisector of .
Construction tool source: https://www.mathspad.co.uk/i2/construct.php
Note: It is very important here to learn to bisect an angle. It is always important to keep in mind how to bisect an angle as angle could be plotted by using this concept. This is a very basic question. We may have asked in a question given the line segment of base of an angle or any length could be given.
Complete step-by-step answer:
To construct an angle of
Step 1: Draw a line
Step 2: Using compass, draw an arc of any radius taking
Step 3: Taking the compass at the same length, draw an arc with
Step 4:
Step 5: Taking any radius, draw two arcs with
Step 6: Join
Step 7: Now, take
Step 8: Join point
Now, to bisect the angle of
Step 9: Take
Step 10: Join
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Note: It is very important here to learn to bisect an angle. It is always important to keep in mind how to bisect an angle as angle could be plotted by using this concept. This is a very basic question. We may have asked in a question given the line segment of base of an angle or any length could be given.
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