Construction

Quadrilateral

A quadrilateral is a polygon with four sides (edges), four vertices (corners), and four angles. The sum of the interior angles of any quadrilateral is always 360°.

Parallelogram

A parallelogram is a special type of quadrilateral in which both pairs of opposite sides are parallel and equal in length. The opposite angles are also equal, and the diagonals bisect each other.

✅ Every parallelogram is a quadrilateral, but not every quadrilateral is a parallelogram.

1. Construction of Parallelograms equal in area

- Parallelograms on the same base and between the same parallels are equal in area.

2. Construction of Triangles equal in area

- Triangles on the same base and between the same parallels are equal in area.

3. Construction of Triangles and Parallelograms equal in area

- Triangle with double the base of parallelogram on the same base and between the same parallels are equal in area.

Key Points

1. The naming of the figure must be the same as the question.
2. You must have a rough sketch with proper naming and measurement before working on construction.
3. It is not necessary to mention the working steps.
4. After the construction, you must check it experimentally and theoretically.
5. In the end, the name of the final figure, like \(\triangle ABC\), which was newly constructed, must be mentioned.