Question

Prove that the similarity of polygons is an equivalence relation.

Similarity
ANSWERED
asked 2021-02-14
Prove that the similarity of polygons is an equivalence relation.

Answers (1)

2021-02-15
Step 1
Let A, B and C are polygons. It is known that A is similar to A and so similarity between polygons is reflexive.
Step 2
If A is similar to B then B similar to A and so similarity between polygons is symmetric.
Step 3
Similarly, If A and B are both similar to C then A and B are similar as figures similar to the same rectilinear figure is also similar to one another and so similarity between polygons is transitive.
Step 4
Therefore, the similarity of polygons is an equivalence relation.
0
 
Best answer

expert advice

Need a better answer?
...