If a quadrilateral has two pairs of opposite sides that are equal, what can be c

Practice Questions

Q1
If a quadrilateral has two pairs of opposite sides that are equal, what can be concluded about the quadrilateral?
  1. It is a rectangle
  2. It is a rhombus
  3. It is a parallelogram
  4. It is a trapezoid

Questions & Step-by-Step Solutions

If a quadrilateral has two pairs of opposite sides that are equal, what can be concluded about the quadrilateral?
  • Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
  • Step 2: Identify the sides of the quadrilateral. Label the sides as AB, BC, CD, and DA.
  • Step 3: Check if there are two pairs of opposite sides that are equal. This means AB = CD and BC = DA.
  • Step 4: Recall the definition of a parallelogram. A parallelogram is a quadrilateral where opposite sides are equal.
  • Step 5: Since the quadrilateral has two pairs of opposite sides that are equal, it fits the definition of a parallelogram.
  • Step 6: Conclude that the quadrilateral is a parallelogram.
  • Properties of Quadrilaterals – Understanding the characteristics of quadrilaterals, specifically the definition and properties of parallelograms.
  • Opposite Sides – Recognizing that equal opposite sides is a key property that defines parallelograms.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely