1. Tabulate the differences in properties between parallelogram and a rhombus. (5)

Answer 1

Here’s a comparison table highlighting the differences between a parallelogram and a rhombus:

| Property | Parallelogram | Rhombus | |------------------------------|---------------------------------------------|----------------------------------------------| | Definition | A quadrilateral with opposite sides parallel| A parallelogram with all sides equal in length | | Sides | Opposite sides are equal in length | All four sides are equal in length | | Angles | Opposite angles are equal; consecutive angles are supplementary | Opposite angles are equal; consecutive angles are supplementary | | Diagonals | Diagonals bisect each other | Diagonals bisect each other and are perpendicular (i.e., form right angles) | | Area Calculation | Area = base × height | Area = \( \frac{1}{2} \times d_1 \times d_2 \) (where \( d_1 \) and \( d_2 \) are diagonals) | | Types | Includes rectangles, rhombuses, and squares | A specific type of parallelogram |

This table summarizes the key differences between a parallelogram and a rhombus.