Question

Construct a parallelogram POUR in which \[PO\]\[ = \] \[5.5\] cm, \[OU\] \[ = \] \[7.2\] cm, and angle O \[ = \] \[{70^0}\].

Answer 1

Hint: We are provided with the dimensions of parallelogram POUR and we have to construct the parallelogram POUR with the help of scale and compass/protector.
We know that parallelogram is the quadrilateral whose opposite sides are equal and measures of opposite angle are also equal.
To draw a parallelogram, we must know must property of a parallelogram which can be helpful for construction, the property which will be required is the opposite lengths of sides of the parallelogram are equal. So, according to this \[PO\] \[ = \] \[UR\] \[ = \] \[5.5\]CM and \[OU\] \[ = \] \[PR\] \[ = \] \[7.2\] cm.

Complete step by step solution:
Since we know that
opposite lengths of sides of the parallelogram are equal. So, according to this \[PO\]\[ = \] \[UR\] \[ = \] \[5.5\]cm and \[OU\]\[ = \] \[PR\] \[ = \] \[7.2\] cm.
To construct the parallelogram the material that we will need is a scale, compass, pencil, and protector.
Firstly, we will make a rough sketch to understand the parallelogram and assume how our parallelogram should look like.

Step of construction are as follows:
1. Draw a line segment of length \[5.5\]cm with scale and name it PO.

2. Construct \[{70^0}\]angle at point O with help of protector.

3. Take a length of \[7.2\]cm on scale through compass and cut an arc with O as center. The point where the arc cut names its U.

4. Take a length of \[5.5\]cm on scale through a compass and cut an arc with U as the center. The point where arc cut names its R.

5. Now again take the length of \[7.2\]cm on scale through compass and cut an arc with R as the center. The point where arc cut names its P.

6. Now, join \[PO\], \[OU\], \[UR\]and \[PR\].

Hence, POUR is a required parallelogram that looks like the one given below.

Therefore, we have constructed the required parallelogram POUR.

Note: Students must draw a rough sketch before constructing any polygon. Drawing a rough sketch will make them understand the structure of the polygon and naming of the polygon would be easier then.
A sharp pencil is required for doing construction of polygon, a blunt pencil would be an obstacle in measurement.
Students must ensure that they must draw the angle very carefully including the naming of points and the measurement. They would be error-free as it could result in false construction.