Prove: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

AB = BC and ABCD is a rhombus.
https://media.glynlyon.com/o_geo_2010/9/q422a.gif

Question

Prove: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

AB = BC and ABCD is a rhombus.
https://media.glynlyon.com/o_geo_2010/9/q422a.gif

phi · Answer

A quadrilateral (4 sided figure) is a parallelogram if (among other things)
its diagonals bisect each other

Can you draw a parallelogram, and show its diagonals ?

phi · Answer

See http://www.regentsprep.org/Regents/math/geometry/GP9/LParallelogram.htm for a list of properties of a parallelogram

anonymous · Answer

i still dont understand?

phi · Answer

Can you draw a parallelogram, and show its diagonals ?

anonymous · Answer

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anonymous · Answer

like that?

phi · Answer

that is good,  but the diagonals go from corner to corner.  can you add them ?

phi · Answer

see http://www.mathopenref.com/parallelogramdiags.html