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Mathematics 14 Online
OpenStudy (anonymous):

Is a rhombus with congruent diagonals a square?

OpenStudy (mathstudent55):

yes

OpenStudy (mathstudent55):

|dw:1371398328289:dw|

OpenStudy (anonymous):

thanks for the picture!

OpenStudy (mathstudent55):

All triangles formed by 2 sides of the rhombus and a diagonal are congruent.

OpenStudy (mathstudent55):

With that you can show that for each triangle, the sum of two congruent angles equals the measure of the third angle. That makes the larger angle a right angle. Then it's a square.

OpenStudy (mathstudent55):

wlcm

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