In a rhombus, what is the relationship between the lengths of the diagonals?

Practice Questions

Q1
In a rhombus, what is the relationship between the lengths of the diagonals?
  1. They are equal
  2. They are perpendicular
  3. They bisect the angles
  4. Both B and C

Questions & Step-by-Step Solutions

In a rhombus, what is the relationship between the lengths of the diagonals?
  • Step 1: Understand what a rhombus is. A rhombus is a type of quadrilateral where all four sides are of equal length.
  • Step 2: Learn about the diagonals of a rhombus. A rhombus has two diagonals that connect opposite corners.
  • Step 3: Know that the diagonals of a rhombus intersect each other at a right angle (90 degrees). This means they are perpendicular to each other.
  • Step 4: Understand that the diagonals also bisect each other. This means that each diagonal is divided into two equal parts at the point where they cross.
  • Step 5: Remember that the diagonals also bisect the angles of the rhombus. This means that each angle of the rhombus is split into two equal angles by the diagonals.
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