Question

Which statement correctly compares AB and FD?

Answer 1

the only one that's true is number 2 (" A-B is longer than F-E ")

Answer 2

(B) AB will be longer than FD.

Explanation:

It is given that in ΔABC and ΔDEF, we have

AC≅FE and BC≅DE and ∠ACB=72° and ∠FED=65°

Now, since in the given triangles, two sides of both the triangles are congruent, thus larger the angle made by them larger will be the length of the opposite side.

Now, from figure, it is given that the ∠ACB=72°, thus the side opposite to this angle will be larger that is AB will be larger.

Also, ∠FED=65°, thus the side opposite to this angle will be smaller that is FD will be smaller.

Hence, AB will be longer than FD, therefore option B is correct.