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

Question

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

Vedantu Content Team · Accepted Answer

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 thatopposite 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.\n    \n    \n    \n    \n  Step of construction are as follows:1. Draw a line segment of length $$5.5$$cm with scale and name it PO.\n    \n    \n    \n    \n  2. Construct $${70^0}$$angle at point O with help of protector.\n    \n    \n    \n    \n  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.\n    \n    \n    \n    \n  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.\n    \n    \n    \n    \n  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.\n    \n    \n    \n    \n  6. Now, join $$PO$$, $$OU$$, $$UR$$and $$PR$$.\n    \n    \n    \n    \n  Hence, POUR is a required parallelogram that looks like the one given below.\n    \n    \n    \n    \n  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.