Question

Using ruler and compass only construct a parallelogram of AB 6 cm AD 3 cm angle DAB is 45. If the bisector of angle DAB meets meets DC at P. Prove that angle APB is a right angle.

Answer 1

Dear student,

Please find the steps below

1. Draw AB =6cm

2. At A draw angle QAB=45

3.Cut AD=3cm on AQ

4. From D draw an arc of radius 6cm

5 ,From B draw an arc of radius 3cm which meets first arc at C

6, Join CD and BC

Thus ABCD is the required parallelogram

7,Bisect angle DAB, so that bisector meets CD at P

8, Join PB and measure angle APB




Regards