question_answer 1)

Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.

Answer:

Here, ABCDEFGH is a regular octagon. Joining vertices G and D, we get \[\overline{GD}.\] Again, joining H and C, we get \[\overline{HC}\]. Thus, we get a rectangle HCDG. Again, by joining A, F and B, E, we can get another rectangle ABEF.