Important Formulas: Practical Geometry

Condition for Uniquely drawing the Triangle

We need three measurements for Uniquely drawing the Triangle
Three Measurement could be (Two sides, One Angle), (three sides) and (2 angles, 1 side).

Condition for Uniquely drawing the Quadrilaterals

Five measurements can determine a quadrilateral uniquely:
Here is some the measurement which will help us uniquely draw the quadrilaterals
1. A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal is given.

2. A quadrilateral can be constructed uniquely if its two diagonals and three sides are known.
3. A quadrilateral can be constructed uniquely if its two adjacent sides and three angles are known.
4. A quadrilateral can be constructed uniquely if its three sides and two included angles are given
5. Some special property can help in uniquely drawing the quadrilaterals.

Example

• Square with side given
• Rectangle with side given
• Rhombus with diagonals given