Geometry | Term 1 Chapter 5 | 7th Maths - Construction of angle bisector of an angle | 7th Maths : Term 1 Unit 5 : Geometry
Chapter: 7th Maths : Term 1 Unit 5 : Geometry
Construction of angle bisector of an angle
Construction
of angle bisector of an angle.
If a line or line segment divides an angle into
two equal angles, then the line or line segment is called angle bisector of the
given angle.
In the following figures we can observe some angle
bisectors.
Example 5.12
Construct bisector of the ∠ABC with the measure 80°.
Step 1: Draw the given angle ∠ABC with the measure 80° using protractor.
Step 2: With B as center and convenient radius, draw an arc to cut BA and BC.
Mark the points of intersection as E on BA and F on
BC.
Step 3: With the same radius and E as center, draw an arc in the interior of ∠ABC and another arc of same measure with center
at F to cut the previous arc.
Step 4: Mark the point of intersection as G.
Draw a ray BX through G.
BG is the required bisector of the given angle ∠ABC
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