Let’s draw a parallelogram GOLD where GO = 7 cm, OL = 5.8 CM AND GL = 5.8 cm

We are given with,

GO = 7 cm

OL = 5.8 cm

GL = 5.8 cm

To do: Construct a parallelogram GOLD.

Recall: a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

So, we need to keep in mind, that

- The opposite sides are equal and parallel.

- The opposite angles are equal.

- The diagonals bisect each other.

- No angle can be of 90° or else it will be a square.

Materials required: ruler, pencil, compass, and a sheet of paper

Steps:

1. Firstly, draw a line of 7 cm on a paper using ruler.

2. Now, set the compass at 5.8 cm using a ruler then keeping one of the compass at G, draw an arc or circle at that fixed 5.8 cm radius.

3. Similarly, without changing the radius draw an arc or circle keeping O at centre now. Note that this arc cuts the previous arc, name it L. (Since, we wanted OL = GL = 5.8 cm)

4. We can join GL and OL.

Here, GL is a diagonal and OL is one of the sides of the parallelogram.

5. Now, since opposite sides of parallelogram are equal and parallel, draw a straight line from L measuring 7 cm, call it LD.

6. Then, join DG as well.

Measure the angles in the end.

Thus, we have got the parallelogram GOLD.