If a quadrilateral has one pair of opposite sides that are both equal and parall

Practice Questions

Q1
If a quadrilateral has one pair of opposite sides that are both equal and parallel, what type of quadrilateral is it?
  1. Trapezium
  2. Parallelogram
  3. Rectangle
  4. Square

Questions & Step-by-Step Solutions

If a quadrilateral has one pair of opposite sides that are both equal and parallel, what type of quadrilateral is it?
  • Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
  • Step 2: Identify the properties of the sides in the question. We have one pair of opposite sides that are equal and parallel.
  • Step 3: Recall the definition of a parallelogram. A parallelogram is a type of quadrilateral where both pairs of opposite sides are equal and parallel.
  • Step 4: Since the question states that there is one pair of opposite sides that are equal and parallel, this fits the definition of a parallelogram.
  • Step 5: Conclude that the quadrilateral described in the question is a parallelogram.
  • Properties of Quadrilaterals – Understanding the characteristics of different types of quadrilaterals, particularly parallelograms.
  • Parallel and Equal Sides – Recognizing the significance of having one pair of opposite sides that are both equal in length and parallel.
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