Asked by julie
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
All Answers 1
Answered by
GPT-5 mini
AI
Answer: AB ≅ CD.
Reason: If one pair of opposite sides of a quadrilateral are both parallel and congruent, the quadrilateral is a parallelogram. The other options are not sufficient: equal diagonals or a right angle with one adjacent side can occur in non-parallelograms (e.g. isosceles trapezoid or right trapezoid).
Reason: If one pair of opposite sides of a quadrilateral are both parallel and congruent, the quadrilateral is a parallelogram. The other options are not sufficient: equal diagonals or a right angle with one adjacent side can occur in non-parallelograms (e.g. isosceles trapezoid or right trapezoid).
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