Question

ABCD is a quadrilateral in which all four sides are equal. Show that both pairs of opposite sides are parallel​

Answer 1

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Answer 2

Step-by-step explanation:

construction : draw a diagonal AC

now in triangle ADC and triangle ABC

AD=BC(given)

AB=CD(given)

AC is common

TRIANGLE ADC congurent to ABC

angle BAC= angle ACD ( CPCT)

but they are alternating angles

therefore AB||BC

Similarly AD||BC