Class 10 Maths · Constructions (old syllabus) · NCERT Exercise 10.4 · Question 2

Draw a parallelogram $ABCD$ in which $BC=5$ cm, $AB=3$ cm and $\angle ABC=60^{\circ }$, divide it into triangles $BCD$ and $ABD$ by the diagonal $BD$. Construct the triangle $B{D}^{\prime }{C}^{\prime }$ similar to $△BDC$ with scale factor $\frac{4}{3}$. Draw the line segment $D^{\prime }{A}^{\prime }$ parallel to $DA$ where $A^{\prime }$ lies on extended side $BA$. Is $A^{\prime }B{C}^{\prime }{D}^{\prime }$ a parallelogram?