57 493
Assignments Done
Successfully Done
In February 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Discrete Mathematics Question for Ranjan Chettri

Question #12040
If A is the set of triangles in a plane then prove that the relation R defined by "a is similar to b" is an equivalence relation.
Expert's answer
Two geometrical objects (in this case – triangles) are called similar if they both have the same shape, or one has the same shape as the mirror image of the other. Obviously, this relation satisfies following conditions:

a ~ a. (Reflexivity)
if a ~ b then b ~ a. (Symmetry)
if a ~ b and b ~ c then a ~ c. (Transitivity)

So, relation R is an equivalence relation.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question