Answer: Choice A) Distance from C to P is the same as the distance from C' to P. In other words, PC = PC'
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Explanation:
The reason why choice A is true is because segment PC is perpendicular to the orange dashed line, so we reflect point C over this dashed line to have it land on point C'. the segment PC will also reflect over to land perfectly on the segment PC' which is a congruent segment. Therefore proving that PC = PC'
Choice B is not true. This is because point P is not on the segment from B to B'. Therefore it cannot be the midpoint of BB'
Choice C is not true. A line segment such as AB is not perpendicular to the orange dashed line of reflection, since this line is closer to being parallel than perpendicular. We can move point B so that AB is perfectly parallel to the orange dashed line, and the reflection will still happen.
Choice D is not true. It should be the other way around and the teacher should have said "the distance from C to C' is twice that of the distance from C to P". In short, it should be CC' = 2*CP. Saying CP = 2*CC' is false because CC' is the longer segment.
