This diagram is a straightedge and compass construction. A is the center of one circle, and B is the
center of the other. A rhombus is a quadrilateral with 4 congruent sides. Explain why Quadrilateral ABCD is a rhombus

This diagram is a straightedge and compass construction A is the center of one circle and B is the center of the other A rhombus is a quadrilateral with 4 congr class=

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From the diagram shown, the quadrilateral ABCD is a rhombus because opposite sides are both parallel and congruent or equal

Properties of a rhombus

The properties of a rhombus include:

  • All sides of a rhombus are equal or congruent
  • Opposite sides of a rhombus are parallel
  • Opposite angles of a rhombus are equal or congruent
  • Diagonals bisect each other at right angles
  • Diagonals bisect the angles.
  • The sum of two adjacent angles is equal to 180 degrees, that is, they are supplementary

From the diagram shown, we can see that line AB is parallel and opposite to line BD and certifies one of the major properties of a rhombus

Thus, from the diagram shown, the quadrilateral ABCD is a rhombus because opposite sides are both parallel and congruent or equal

Learn more about a rhombus here:

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