1.

ABCD is rhombus. Show that diagonal AC bisects angle A as well as angle C and diagonal BD bisects angle B as well as angle D.

Answer»

ABCD is a rhombus so, it's all side are equal.Take a triangle ABCin which AB=ACAngleACB=AngleBAC. Equation 1In triangle ADCAD=CDso, angle DCA=Angle DAC. Equation2from 1 and 2we get, AC bisect angle A and angle Bsimilarly,BD bisect angle C and angle D

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