1. **State the problem:** Construct a parallelogram ABCD where side AB = 6 cm, side AD = 3 cm, and the angle at vertex A is 60 degrees. 2. **Recall properties and formulas:** - A parallelogram has opposite sides equal and parallel. - Adjacent sides AB and AD meet at angle A. - To construct, we use the given lengths and angle. 3. **Step-by-step construction:** - Draw segment AB = 6 cm. - At point A, construct an angle of 60 degrees with AB. - From A along this angle, measure and mark point D such that AD = 3 cm. - Draw segment DC parallel and equal to AB (6 cm). - Draw segment BC parallel and equal to AD (3 cm). 4. **Explanation:** - By constructing angle A = 60 degrees and sides AB and AD with given lengths, we ensure the shape is a parallelogram. - Opposite sides are equal and parallel by definition. 5. **Summary:** - The parallelogram ABCD is constructed with AB = 6 cm, AD = 3 cm, and angle A = 60 degrees. This completes the construction of the parallelogram ABCD as per the given conditions.