Just wondering if anyone knows or heard from any HSC markers that would we be marked down by not writing converse theorems in the HSC exams. I know my school accepts it when students do not write these converse theorems but I'm not* sure what other schools do.
For example, let's say we are trying to prove A,B,C,D is con-cyclic. We found out that the the interval AB subtends the same angle at two points C and D on the same side of AB. Could we simply just say "alternate angles in the same segments are = in a cyclic quadrilateral" rather than "A,B,C,D is con-cyclic because the interval AB subtends equal angles at points C and D on same side of AB". ? ------ Cuz its quite tedious writing all that....
Another example, lets say we proved a triangle ABC has a right angle at B. Can we just say "Since Angle ABC = 90 degrees, therefore points A,B,C are con-cyclic as angle in the semi circle is 90 degrees" rather than "A,B,C is con-cyclic because the circle whose diameter is the hypotenuse of a right angled triangle passes through the third vertex"
Hope you understand my question....
Thanks in advance....
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For example, let's say we are trying to prove A,B,C,D is con-cyclic. We found out that the the interval AB subtends the same angle at two points C and D on the same side of AB. Could we simply just say "alternate angles in the same segments are = in a cyclic quadrilateral" rather than "A,B,C,D is con-cyclic because the interval AB subtends equal angles at points C and D on same side of AB". ? ------ Cuz its quite tedious writing all that....
Another example, lets say we proved a triangle ABC has a right angle at B. Can we just say "Since Angle ABC = 90 degrees, therefore points A,B,C are con-cyclic as angle in the semi circle is 90 degrees" rather than "A,B,C is con-cyclic because the circle whose diameter is the hypotenuse of a right angled triangle passes through the third vertex"
Hope you understand my question....
Thanks in advance....
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