In a quadrilateral ABCD, if AB = CD and AD = BC, which of the following can be c

Practice Questions

Q1
In a quadrilateral ABCD, if AB = CD and AD = BC, which of the following can be concluded?
  1. ABCD is a rectangle.
  2. ABCD is a parallelogram.
  3. ABCD is a trapezium.
  4. ABCD is a square.

Questions & Step-by-Step Solutions

In a quadrilateral ABCD, if AB = CD and AD = BC, which of the following can be concluded?
  • Step 1: Identify the quadrilateral ABCD and label its sides: AB, BC, CD, and AD.
  • Step 2: Note the given information: AB is equal to CD (AB = CD) and AD is equal to BC (AD = BC).
  • Step 3: Understand the property of a parallelogram: A quadrilateral is a parallelogram if both pairs of opposite sides are equal.
  • Step 4: Since AB = CD and AD = BC, both pairs of opposite sides are equal.
  • Step 5: Conclude that quadrilateral ABCD is a parallelogram based on the property of equal opposite sides.
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