Here is another installment in my series reviewing the NY State Regents exams in mathematics.
I really do not understand the point of questions like this, from the June 2015 Geometry Regents exam.
Moreover, the construction aspect of this question is essentially irrelevant: the question might as well be, “Which diagram shows an altitude?”.
The Regents exam writers have been using this approach in testing geometric constructions for some time. It just seems pointless to me. And it is often the case that the exam also includes a free-response question that asks the student to actually construct something with a compass, which makes this multiple choice question both pointless and redundant.
Much is made about the importance of testing when it comes to student learning and teacher accountability. But such arguments seem less reasonable the more closely we look at what we test and how we test it.