Question

ABCD is a rhombus.show that Diagonal AC bisects angle A as well as angle C and diagonal BD bisects angle Bas well as angel D.



please answer this..........​

Answer 1

Answer:

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