Constructing Special Quadrilaterals

Practical Geometry
Serial order wise

### Transcript

Question 4 A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm. Is it unique? In parallelogram, Opposite sides are equal ∴ YA = OK = 5.5 cm & YO = KA = 4.2 cm So, we have 4 sides, But we require 5 measurements to make a quadrilateral Since we can have any angle as ∠ O, there can be more than 1 parallelogram with the same sides So, parallelogram is not unique In parallelogram, Opposite sides are equal ∴ YA = OK = 5.5 cm & YO = KA = 4.2 cm So, we have 4 sides, But we require 5 measurements to make a quadrilateral Since we can have any angle as ∠ O, there can be more than 1 parallelogram with the same sides So, parallelogram is not unique Steps of construction 1. Draw side OK of length 5.5 cm 2. Now, we draw 90° from point O Check Ex 11.1, 1 of Chapter 11 Class 9 NCERT to see how to draw 90° 3. Now, we draw 90° from point K Taking 4.2 cm as radius, and O as center. Draw an arc. Mark the point where arc and line intersect as Y Taking 4.2 cm as radius, and K as center. Draw an arc. Mark the point where arc and line intersect as A 5. Join YA Label the sides ∴ OKAY is one of the possible parallelograms

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#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.