PUMPA - THE SMART LEARNING APP

Helps you to prepare for any school test or exam

### Theory:

• Draw one side and make the angle with their side measure.
• Make the existing side $$BC$$ another indicated angle.
• Mark the new $$Y$$ axis point of the new side equal to the length of the specified side.  Mark it as $$D$$.

• Join the $$AD$$ points in the quadrilateral on the $$4$$th side. The quadrilateral is now complete.
Example:
Construct a quadrilateral $$TRUE$$ with the following measurements.

$$TR =$$ $$3.5 cm$$, $$RU = 3 cm$$, $$UE = 4 cm$$, $$∠R = 75°$$, $$∠U = 120°$$.

Step 1:  Draw side $$RU = 3 cm$$ and angle $$120 °$$ at point $$U$$. As the vertex $$E$$ is $$4 cm$$ away from $$U$$, cut the line segment $$UE$$ of $$4 cm$$ out from this ray.

Step 2: Draw the angle $$75 °$$ at the point $$R$$. As the vertex $$T$$ is $$3.5 cm$$ away from the vertex $$R$$, cut the line segment $$RT$$ away from the $$3.5 cm$$ of this ray.

Step 3: Join $$T$$ to $$E$$.

Thus, the $$TRUE$$ is the required quadrilateral.