Jharne De and Ranjana Kumar Solutions for Chapter: Construction of Quadrilaterals, Exercise 4: HOTS (Higher Order Thinking Skills)

Nikita has to draw a quadrilateral $ABCD$. If she has been given the measures of four sides only, then can she draw the quadrilateral$?$ Given reasons.

In which of the following cases can you draw a quadrilateral.

$\left(a\right)$ Four sides and a diagonal are given

$\left(b\right)$ Four angles and one side are given

$\left(c\right)$ Four sides and one angle are given

$\left(d\right)$ Three sides and two diagonals are given.

We can draw a quadrilateral if its four angles and one side are known. State true or false with reason.

In which of the following cases can we draw a quadrilateral?

Four sides and one angle are given 

In which of the following cases can we construct a quadrilateral:

Three sides and two diagonals are given 

Construct a quadrilateral $\mathrm{ABCD}$ with $\mathrm{AB}=3.5 \mathrm{cm}, \mathrm{BC}=5.7 \mathrm{cm}, \mathrm{CD}=5.2 \mathrm{cm}$, add the two included angles $\angle \mathrm{B}=120°, \angle \mathrm{C}=80°$.

Construct a quadrilateral $PEST$ if $\mathrm{ES}=4.8 \mathrm{cm}, \mathrm{PT}=5.8 \mathrm{cm}, \mathrm{ST}=5 \mathrm{cm}, \mathrm{PS}=6 \mathrm{cm}$, and $\mathrm{ET}=6.7 \mathrm{cm}$.