The document Theory - To explore Similarities & Differences in properties of the Quadrilaterals, Class 9 Math Class 9 Notes | EduRev is a part of the Class 9 Course Mathematics (Maths) Class 9.

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**Objective : **

To explore similarities and differences in the properties with respect to diagonals of the following quadrilaterals- a parallelogram, a square, a rectangle and a rhombus.

**Definition:**

It is a quadrilateral where both pairs of opposite sides are parallel. Quadrilateral ABCD is a parallelogram.

**Properties :**

A diagonal of a parallelogram divides it into two congruent triangles (â–² ADB is congruent to â–² ABC).

Diagonals of a parallelogram bisect each other.

Opposite sides are congruent (AB = DC).

Opposite angles are congruent (âˆ ADC= âˆ ABC).

Consecutive angles are supplementary (âˆ DAB + âˆ ADC = 180Â°).

If one angle is right angle, then all angles are right.

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