Bisecting Angles

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Construction of Bisecting Angles
Using a protractor draw are angle of measure 800.Bisect the given angle.

Step 1: Draw a ray OA.

Step 2:With the help of protractor draw an angle AOB of measure 800
Step 3: With center O and a convenient radius draw an arc cutting arms OA and OB at P and Q respectively.

Step 4: With center P and radius more than half-length of PQ, draw an arc.

Step 5: With center Q and same radius as in the step 4, draw another arc intersecting the arc drawn in the step 4 at R.

Step 6: Join OR and Produce it to form a ray OX the angle AOX is the angle of measure 400 ( one half of 800)

Construction of Angles 600,1200and 1800

Step 1 : Draw a line segment AB of any length.

Step 2 : Draw an arc of any radius with center A, which cuts AB at P.

Step 3 : With same radius and center at P draw another arc, which cuts earlier arc at Q.

Step 4 : Join AQ.

Step 5 : ∠BAD = 600

Step 4 : With same radius and centre at Q draw another arc which cut the first arc at R.

Step 5 : Join A and R by drawing AC.

Step 6 : ∠CAB is the required 120° angle.

Bisectors of angles Angles
00 and 600 300
600 and 1200 900
00 and 900 450
600 and 900 750
900 and 1200 1050
1200 and 1800 1500

Geometrical Constructions

Basic Geometric Constructions
Construction of Line Segment
Bisecting a Line Segment
Constructing Angles
Bisecting Angles
Constructing Parallel Lines
Construction of Triangle (SSS)
SAS Triangle Construction
ASA Triangle Construction
HL Triangle Construction (Rhs -construction)
Constructing Quadrilaterals
Constructing Triangles(when sum of sides or perimeter is given)

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