Question

"All congruent figures are similar but not all similar figures are congruent". Explain. (Sir/Madam, can you please elaborate the answer and post it?! )

Answer 1

Yes.All Congruent figures are similar but not all similar figures are congruent.
Explanation:
Start with the definition ofcongruence.Congruent objects on a plane are those that can be transformed one into another by any combination of the following transformations:
-> rotation around some point as a center,
-> translation (shift) in certain direction,
-> symmetry around some axis.

Continue with a definition of similarity.Similar objects on a plane are those that can be transformed one into another by any combination of the following transformations:
-> scaling using some point on a plane as a center and some real number as a factor of scaling,
-> rotation around some point as a center,
-> translation (shift) in certain direction,
-> symmetry around some axis.
As you see, any pair of congruent objects arealso similar since all transformations needed for congruence are included into similarity.If you really want to add scaling (which is not necessary), choose any point on a plane as acenter of scaling and factor of 1 that does not really change anything.