Question

Which of the following is true?
Statement I : All similar triangles are congruent.
Statement II: All congruent triangles are similar.

• A. Both I and II
• B. Only statement I
• C. Only statement II
• D. Both statements are false

Answer 1

The correct option is C Only statement II

In congruent triangles, all the corresponding sides and corresponding angles are equal whereas in similar triangles only the corresponding angles are equal and ratio of corresponding sides is the same.
So, for similar triangles to be congruent the ratio of corresponding sides must be 1. But all congruent triangles are always similar.
Hence only statement II is correct.