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Aptitude Topics

Quadrilaterals

Quadrilaterals are closed plane shapes with four straight sides. They have unique properties depending on side parallelism and diagonal intersections.

Fundamental Principles

Parallelogram Properties

A quadrilateral where opposite sides are parallel and equal, opposite angles are equal, and the diagonals bisect each other.

Rhombus Properties

A specific type of parallelogram where all four sides are equal in length, and the diagonals intersect at a right angle (90 degrees).

Essential Formulation Tips

  • The internal angles of any quadrilateral always add up to exactly 360 degrees.
  • Every square is a rhombus and a rectangle, but rectangles and rhombuses are not always squares.

Shortcut Execution Techniques

  • Rhombus Diagonal Shortcut: The area of a rhombus can be found quickly using the lengths of its diagonals with the formula: Area = (d1 * d2) / 2.

Contextual Inquiries (FAQs)

Q: Do the diagonals of a rectangle always intersect at right angles?

A: No. The diagonals of a rectangle are equal in length, but they only intersect at right angles if the shape is a square.