If the diagonals of a quadrilateral are equal and bisect each other, which type

Practice Questions

Q1
If the diagonals of a quadrilateral are equal and bisect each other, which type of quadrilateral can it be?
  1. Trapezium
  2. Rectangle
  3. Rhombus
  4. Parallelogram

Questions & Step-by-Step Solutions

If the diagonals of a quadrilateral are equal and bisect each other, which type of quadrilateral can it be?
  • Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
  • Step 2: Learn about diagonals. Diagonals are lines that connect opposite corners of a quadrilateral.
  • Step 3: Know what it means for diagonals to be equal. This means both diagonals have the same length.
  • Step 4: Understand what it means for diagonals to bisect each other. This means they cut each other in half at the point where they cross.
  • Step 5: Recognize that if a quadrilateral has equal diagonals that bisect each other, it has special properties.
  • Step 6: Identify that one type of quadrilateral with these properties is a rectangle. A rectangle has equal diagonals that bisect each other.
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