ABCD is a rhombus. show that diagonal AC bisects angle A and angle C and diagonal BD bisects angle B as well as angle D.
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ABCD is a rhombus
so, it's all side are equal.
Take a triangle ABC
in which AB=AC
AngleACB=AngleBAC. Equation 1
In triangle ADC
AD=CD
so, angle DCA=Angle DAC. Equation2
from 1 and 2
we get,
AC bisect angle A and angle B
similarly,
BD bisect angle C and angle D
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