Swedish entry exam logic question
Hi everyone,
I’m looking for a logic check on a question from a Swedish entrance exam (MAFY) held a few days ago. The question presents a specific theorem and asks which conclusion follows strictly from it:
The Theorem: The angle opposite a longer side in a triangle is larger than the angle opposite a shorter side.
The Options:
(a) If a triangle's three angles are equal, then its three sides are equal in length.
(b) If a triangle's three sides are equal in length, then its three angles are equal.
(c) The base angles of an isosceles triangle are equal.
(d) None of the above follow from the theorem.
The official answer posted by the universities is option a, but to me that seems to be wrong. They have already adjusted some of thier official answers so it is not far fetched that they got this one wrong as well.
In previous years the logic question on the exam was always that you are given a theorem or a statement and the right answer have always been the contrapositive, but that approach does not seem to work this year.
I understand that a,b and c are all correct geometrically but don't beleive that any of them are a consequence of the provided tehorem.
what would you guys answer and why?