adrenochromelog

RE the geometry question on p.294: I think the explanation is OK; it comes in two steps: 1. In the original diagram the angles look equal. Therefore the answer cannot be that m is greater than n, or vice versa, since it is possible to draw an accurate diagramme of the triangle where this is not the case. 2. If AC and AB were extended as they are in the second diagramme (and they can be because no lengths are given on the original one) m would be larger than n. Therefore the answer cannot be that m and n are equal because it is possible to draw an accurate diagramme of the triangle where this is not the case. But there are two things that bother me here. First, step 1 rellys on the accuracy of the diagramme. It is pretty obvious here that corner C is about 60 degrees, and that m and n are about equal, so maybe here this is OK. However, this seems like a bad tactic to promote since as far as I am aware, on the test diagrammes may be totally inaccurate. The second thing has to do with the second diagramme, given to show how n might be greater than m. Here, D is clearly much closer to A than to C. However D is ment to be the same distance from both A and C. As such, this diagramme makes n look much larger compared to m than it could actually be. This makes it look like the answer to the question is based on an inaccurate re-drawing of the triangle. Maybe a better explanation would say: if corner A is an accute angle n is larger than m. If A is an obtuse angle n is smaller than m. Therefore the relationship cannot be determined. Does that seem right? Good luck on the exam.