PART - 2 CH : 6 Constructions and Tilings — MATHS STD 7 — Question

We name the vertices of the given figure as A, B, C, D, E, F, G.
Draw a line A’B’ equal to AB and along the direction of the line AB.
With centre at B’. draw an arc of radius A’B’.
Measure AC using a compass.
Transfer this length on the arc from A’ to get A’C’ = AC.
Join B’ and C’. Shade this sector as shown in the given figure.

With centre at C’, draw an arc of radius B’C’.
Measure BD using a compass.
Transfer this length on the arc from B’ to get B’D’ = BD.
Join C’ and A’.
With centre at D’, draw an arc of radius C’D’.
Measure CE using a compass.
Transfer this length on the arc from C’ to get C’E’ = CE.
Join D’ and E’. Shade this sector as shown in the given figure.
With centre at E’, draw an arc of radius D’E’.
Measure DF using a compass.
Transfer this length on the arc from D’ to get D’F’ = DF.
Join E’ and F’.
With centre at F’, draw an arc of radius E’F’.
Measure EF using a compass.
Transfer this length on the arc from E’ to get E’G’ = EG.
Join F’ and G’. Shade this sector as shown in the given figure.
Erase the extra arcs from the figure constructed to get the required figure.