Question

$ABCD$ is a rhombus AC is a diagonal. Show three pairs of equal parts,giving reason.

Answer 1

Given : $ABCD$ is a Rhombus

$\Rightarrow$ All sides are equal in length

$AB=BC=CD=DA\Rightarrow$ Opposite angles are equal while adjacent angles are Supplementary

$\angle DAB=\angle BCD,\angle ABC=\angle ADC$

$\Rightarrow$ diagonals bisect each other perpendicularly