determine whether the statement is true or false. explain your reasoning. A figure that has opposite sides with equal length and equal sloped and diagonal with slopes that are negative reciprocals must be a square.

Question

turingtest · Answer

A figure that has opposite sides with equal length |dw:1420056837446:dw|

turingtest · Answer

equal sloped |dw:1420056883063:dw|

turingtest · Answer

diagonal with slopes that are negative reciprocals |dw:1420056910209:dw|

turingtest · Answer

so is it necessarily a square?

anonymous · Answer

so its true? @TuringTest

turingtest · Answer

did i draw a square?

anonymous · Answer

it looks like a square or a rhombus. @TuringTest

turingtest · Answer

well then it appears that those specifications in the problem aren't enough to ensure that we get a square, are they?

anonymous · Answer

so im guessing its not true?  @TuringTest  but how will i explain that?

turingtest · Answer

correct, it is not true
what is the difference between what i drew and a square?

anonymous · Answer

um i dont really know @TuringTest

turingtest · Answer

|dw:1420057537887:dw|look at the angles of the corners
for a square they are all what measure?

anonymous · Answer

90 degrees

turingtest · Answer

correct, and what about the rhombus?

anonymous · Answer

i dont know

turingtest · Answer

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