Question

if each pair of opposite sides of a quadrilateral is equal then it is a parallelogram the reason out why​

Answer 1

Answer:

parallelogram=opposite sides equal +opposite angles equal

Step-by-step explanation:

we are given that ab=cd and bc=ad

join ac

ac=ac

in Δabc andΔcda

we have

ab=cd

bc=ad

ac=ac

Δabc ≅Δcda

⇒∠a=∠c

 ∠b=∠d

hence proved

Answer 2

Answer:

Step-by-step explanation:

We are given that AB = CD and BC = AD and join to AC

So, AC=AC

Now, In ABC & CDA

AB=CD

BC=AD

AC=AC

THEREFORE ABC congurent CDA