Practical Geometry

• A unique quadrilateral can be constructed, if any five measurements of the quadrilateral are given.
• Construction of a quadrilateral when four sides and a diagonal are given:

Example:

Construct a quadrilateral WXYZ, where WX = 4.5 cm, XY = 5 cm, YZ = 5.5 cm, ZW = 3 cm, and WY = 6 cm.

Solution:

Step 1:

Draw a line WY of length 6 cm. Draw an arc of radius 4.5 cm with W as centre and another arc of length 5 cm with Y as centre. The in…