Question

ABCD is a quadrilateral in which AB=CD and AD=BC. Prove that AD is parallel to BC.​

Answer 1

In quadrilateral ABCD, AB=DC and AD= BC. and the side AB and DC are parallel to each other . If the above statement is true then mention answer as 1, else mention 0 if false. Since, the opposite sides of the quadrilateral are equal.










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Answer 2

Answer:

Step-by-step explanation:

For the quad ABCD,

AB = CD

AD = BC

If we draw a line segment BD to get two triangles Δ ABC and Δ ACD, we have

AB = CD

AD = CB

AC = CA (common side)

∴, by SSS congruence, Δ ABC ≅ Δ CDA

∴, ∠ BAC = ∠ DCA and similary, ∠ BCA = ∠ DAC

Since, for segments AD and BC, alternate angles are equal, AD ║ BC.