Monicaa Abhijit Solutions for Chapter: Construction of Quadrilaterals, Exercise 1: EXERCISE 15.1

Construct a quadiralateral $\mathrm{MINT}$ in which $\mathrm{MI}=2.9 \mathrm{cm}, \mathrm{IN}=2.6 \mathrm{cm}, \mathrm{NT}=3.1 \mathrm{cm}, \mathrm{TM}=3.3 \mathrm{cm}$ and the diagonal $\mathrm{MN}=4.1 \mathrm{cm}$. Measure diagonal $\mathrm{IT}$.

Construct a parallelogram $\mathrm{WING}$ in which $\mathrm{WI}=5 \mathrm{cm}, \mathrm{IN}=4.5 \mathrm{cm}$ and diagonal $\mathrm{WN}=7.5 \mathrm{cm}$. Measure the length of the other diagonal.

Construct a kite $\mathrm{ROSE}$ in which $\mathrm{RO}=4.5 \mathrm{cm}, \mathrm{OS}=5.4 \mathrm{cm}$ and one of the diagonals $\mathrm{RS}=7.7 \mathrm{cm}$. 

Consturct a rhombus $\mathrm{MARS}$ with $\mathrm{MA}=5 \mathrm{cm}$ and $\mathrm{MR}=7 \mathrm{cm}$. Measure the lenght of the other diagonal.

Is it possible to constuct a quadrilateral $\mathrm{FAST}$ with $\mathrm{FA}=3.5 \mathrm{cm}, \mathrm{AS}=4.5 \mathrm{cm}, \mathrm{ST}=6 \mathrm{cm}, \mathrm{TF}=6.5 \mathrm{cm}$ and the diagonal $\mathrm{FS}=9.5 \mathrm{cm}$? If not, give reasons.

Is it possible to construct a parallelogram $\mathrm{TANG}$ with $\mathrm{TA}=5 \mathrm{cm}, \mathrm{AN}=3 \mathrm{cm}$ and the diagonal $\mathrm{TN}=9 \mathrm{cm}$? Give reasons for your answer.