Question

In the given figures, the mirror (i.e., the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

Answer 1

Hint: Consider each line given in the question apart from the dotted line as an object and take the reflection of these lines in the dotted (mirror) line. The reflection of all the lines in the dotted (mirror) line will complete this half figure given in the question and after completion of the figure, see which figure we have got.

Complete step-by-step answer:
In the below figure, a dotted line is shown along with a figure CABD is also shown.

      We are asked to complete this figure. This figure will be completed when we take the reflection of the figure CDEFGH given in the question in the dotted (mirror) line.
In the figure above, the dotted line is treated as a mirror and the figure CDEFGH is treated as an object. Now, we are taking the reflection of this object CDEFGH in the dotted (mirror) line.

In the above figure, CD’ is the reflection of CD, D’E’ is the reflection of DE, E’F’ is the reflection of EF, F’G’ is the reflection of FG and G’H is the reflection of GH.
So, the figure that we have got apart from the given figure in question is CD’E’F’G’H.
And the complete figure that we have obtained after reflection is DEFGG’F’E’D’ which we can see is an octagon.
Hence, the figure that we have completed DEFGG’F’E’D’ is an octagon.
Note: We have called the completed figure CDEFGHG’F’E’D’ as octagon because it has eight sides naming DD’, DE, EF, FG, GG’, G’F’, F’E’, and E’D’. We can remember the word octagon because the word “oct” in octagon means eight and the figure that we have got has eight sides so we can call it an octagon.