question_answer

Draw a right angle and construct its bisector.

Answer:

Here, firstly draw an angle of measure \[90{}^\circ \] ad then construct its bisector. For this, we use the following steps:

Step I: Draw \[\overline{AB}\] of any length. Place the centre of the protractor at A and the zero edge along \[\overline{AB}\]

Step II: Start with zero near B. Mark point C at\[90{}^\circ \].

Step III: Join AC. Then, \[\angle BAC\]is an angle of measure \[90{}^\circ \].

Step IV: Now with A as centre, draw an arc that cuts both rays of \[\angle A\]at part.

Step V: With P as centre and using compasses, draw an arc whose radius is more than half of the length of PQ.

Step VI: With the same radius and with Q as centre, draw another arc in the interior of ∠A. which intersects the previous arc at D. Join \[\overline{AD}\]Then, \[\overline{AD}\] is the required bisector of\[\angle A\].