|Class 8 Maths Practical Geometry||Special Quadrilaterals requiring less than 5 measurements|
Special Quadrilaterals requiring less than 5 measurements
Earlier quadrilaterals required 5 measurements. Following special quadrilaterals require less than 5 measurements.
Hence, using SAS condition, the square can be drawn as:
Problem:Draw a square READ with RE = 5.1 cm.
All sides of a square are equal and the interior angles are 90°.
Step1: Draw a line RE of 5.1 cm and an angle of 90° at point R and E.
Step2: As vertex A and D are 5.1 cm away from vertex E and R respectively, cut line segments EA and RD, each of 5.1 cm from these rays.
Step3: Join D to A.
Rhombus - 2 measurements required. When two diagonals side of the square is given, it is true that:
So if a diagonal of given length is drawn and another line is drawn as perpendicular bisector, of again given length, the rhombus can be formed.
Problem: Construct a RhombusBEND with following measurements.
BN = 5.6 cm, DE = 6.5 cm
Step1: Draw Side BN = 5.6 cm and draw its perpendicular bisector. Let it intersect line segment BN at point O
Step2: Taking O as center, draw arcs of 3.25 cm radius to intersect the perpendicular bisector at point D and E
Step3: Join points D and E to points B and N