I answered this question and I choose (B) and it was correct thanks for all the help!

But I am stuck on this question bellow(#14) well first I answered B and it was incorrect then I said:

My new answer would be (F) a triangle with an angle of 90o, then a side of SQRT(2), then an angle of 45o.

I have two corresponding angles that are congruent which are angles (45°,45°) and (90°,90°) and the corresponding sides (SQRT(2)),(SQRT(2)) between the angles are congruent.

So,according to the angle-side-angle theorem (ASA)the triangles are congruent.

And that was incorrect my teacher said #14 is incorrect. The right angle would not be adjacent to the hypotenuse of the triangle. I am really confused help plzzzz

14. I have a triangle with sides of 1 and a side of SQRT(2), with an angle of 45o and an angle of 90o. Which of the following would be congruent to it? (You will need to use what you've learned about triangles and angle / side relations, as well as your knowledge of the rules of congruence to fill in the gaps and answer the question. Sketches may be helpful.)

A a triangle with a side of 1, then an angle of 90o, and a side of 1

B a triangle with a side of 1, then an angle of 90o, then a side of SQRT(2)

C a triangle with the angles 45o, 45o, 90o

D a triangle with sides of 1 and 1

E a triangle with a side of 1, then an angle of 45o, then a side of 1

F a triangle with an angle of 90o, then a side of SQRT(2), then an angle of 45o