Question 3 - Page 215 - Constructing a House (with Questions) - Chapter 8 Class 6 - Playing with Constructions (Ganita Prakash)

Transcript

Question 3 - Page 215 Is there a 4-sided figure in which all the sides are equal in length but is not a square? If such a figure exists, can you construct it?Yes. This shape is called a Rhombus. Explanation: A Square has two properties: all four sides are equal, AND all four angles are 90° A Rhombus only needs one property: all four sides are equal. Its angles do not have to be 90° Construction of a Rhombus To construct a quadrilateral – we need 5 variables So, we need 4 sides and 1 diagonal Let’s do this question Construct Rhombus BEST with BE = 4.5 cm ET = 6 cm In rhombus, All sides are equal ∴ BE = ES = ST = BT = 6 cm So, we have 4 sides and 1 diagonal Let’s construct it Steps of construction 1. Draw diagonal ET of length 6 cm 2. Taking 4.5 cm as radius, and E as center, draw an arc on top of ET 3. Taking 4.5 cm as radius, and T as center, draw an arc on top of ET 4. Taking 4.5 cm as radius, and E as center, draw an arc on bottom of ET 5. Taking 4.5 cm as radius, and T as center, draw an arc on bottom of ET 6. Let S be the point where arcs intersect on top of ET, and B be the point where arcs intersect below ET Join ES, ST, EB, BT Label the sides ∴ BEST is the required rhombus