If a quadrilateral is both a rectangle and a rhombus, what is it called?

Practice Questions

Q1
If a quadrilateral is both a rectangle and a rhombus, what is it called?
  1. Square
  2. Trapezium
  3. Parallelogram
  4. Kite

Questions & Step-by-Step Solutions

If a quadrilateral is both a rectangle and a rhombus, what is it called?
  • Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
  • Step 2: Learn what a rectangle is. A rectangle has four right angles and opposite sides that are equal in length.
  • Step 3: Learn what a rhombus is. A rhombus has all four sides equal in length, but the angles are not necessarily right angles.
  • Step 4: Recognize that a square is a special type of rectangle and rhombus. A square has all sides equal and all angles are right angles.
  • Step 5: Conclude that if a quadrilateral is both a rectangle (with right angles) and a rhombus (with equal sides), it must be a square.
  • Quadrilaterals – A quadrilateral is a four-sided polygon. Rectangles and rhombuses are specific types of quadrilaterals.
  • Properties of Rectangles – A rectangle has opposite sides that are equal and all angles are right angles.
  • Properties of Rhombuses – A rhombus has all sides of equal length and opposite angles that are equal.
  • Square – A square is a special type of quadrilateral that is both a rectangle and a rhombus, having all sides equal and all angles right.
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