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Quadrilateral A B D C is shown.
In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?
AB ≅ CD
AC ≅ BD
AB ⊥ BD
CD ⊥ BD
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GPT-5 mini
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AB ≅ CD.
Reason: If one pair of opposite sides of a quadrilateral are both parallel and equal in length, the quadrilateral is a parallelogram. The other choices fail (for example, AB ∥ CD and AC ≅ BD can be an isosceles trapezoid, and perpendicular information doesn't force the opposite sides to be parallel).
Reason: If one pair of opposite sides of a quadrilateral are both parallel and equal in length, the quadrilateral is a parallelogram. The other choices fail (for example, AB ∥ CD and AC ≅ BD can be an isosceles trapezoid, and perpendicular information doesn't force the opposite sides to be parallel).
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