Plz answer this and don't spam or else reported plz if don't know don't tell plzz
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Plz answer this and don't spam or else reported plz if don't know don't tell plzz
Plz answer this and don't spam or else reported plz if don't know don't tell plzz
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Answer:
AD||DC
Step-by-step explanation:
In quadrilateral ABCD, we have AB=CD and AD=BC
⇒ Now, join segment AC.
⇒ In △ABC and △ACD, we have
⇒ AB = CD [Given]
⇒ AD = BC [Given]
⇒ AC = AC [Common side]
So, by SSS criteria,
⇒ △ABC≅△ACD
∴ ∠DAC = ∠BCA [By CPCT]
∴ CD∥AB [∵ Alternate angles are equal] ---- ( 1 )
⇒ ∠DCA=∠CAB [By CPCT]
∴ AD∥BC [∵ Alternate angles are equal] --- ( 2 )
From ( 1 ) and ( 2 ) we get that opposite sides of quadrilateral are parallel.
∴ ABCD is a parallelogram.