Parallelogram:
1. Opposite sides are equal and parallel.
2. Opposite angles are equal.
3. Adjacent angles are supplementary.
4. Diagonals bisect each other.
Rhombus:
1. A parallelogram with all sides equal.
2. Opposite angles are equal.
3. Diagonals are perpendicular and bisect each other.
4. Diagonals are not equal.
Rectangle:
1. A parallelogram with all angles equal to 90°.
2. Opposite sides are equal and parallel.
3. Diagonals are equal in length and bisect each other.
Square:
1. A quadrilateral with all sides equal and all angles equal to 90°.
2. Diagonals are equal, perpendicular, and bisect each other.
Kite:
1. A quadrilateral with two pairs of adjacent equal sides.
2. One pair of opposite angles is equal.
3. Diagonals are perpendicular.
4. The longer diagonal bisects the shorter diagonal.
Properties of Quadrilaterals
Important
Question 1
ABCD is a rhombus with each side of length 13 cm. If one of the diagonals is 24 cm in length. What is the area of ABCD?
Question 2
WXYZ is a rhombus whose diagonals intersect at the origin of the XY plane. If the side WX is X + Y = 3, what can be the equation of the side YZ?
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Properties of Quadrilaterals
5
questions from CAT exam over the past 5 years
Formulas Asked Together in Previous Papers
Quadrilateral - Areas and Properties
3 PYQsCoordinate Geometry - Straight Lines
2 PYQsTrignometry - Geometry
1 PYQ
