Jharne De and Ranjana Kumar Solutions for Chapter: Construction of Quadrilaterals, Exercise 6: Test Paper 2

To construct a quadrilateral, we must have a minimum of $5$ known elements. State true and false. 

What is the difference between the properties of diagonals of a rectangle and that of a rhombus?

A quadrilateral can be constructed if two of its sides and diagonal are known.

Construct a quadrilateral $\mathrm{ABCD}$ in which $\mathrm{AB}=5.0 \mathrm{cm}, \mathrm{BC}=4.4 \mathrm{cm}, \angle \mathrm{A}=55°, \angle \mathrm{B}=95°$, and $\angle \mathrm{C}=100°$.

Construct a quadrilateral $\mathrm{ABCD}$ in which $\mathrm{AB}=4 \mathrm{cm}, \mathrm{BC}=6 \mathrm{cm}, \mathrm{CD}=\mathrm{AD}=5 \mathrm{cm}$, and $\mathrm{AC}=7 \mathrm{cm}$.

Construct a trapezium $\mathrm{ABCD}$ when $\mathrm{AB}\parallel \mathrm{CD}, \mathrm{AD}=\mathrm{BC}=4.2 \mathrm{cm}, \mathrm{AB}=6.8 \mathrm{cm}, \mathrm{and} \mathrm{CD}=8.8 \mathrm{cm}.$ Find the measure of $\angle \mathrm{B}$.

Construct a rhombus with sides $5.9 \mathrm{cm}$ each and an included angle of $72°$ .

Construct a quadrilateral $\mathrm{PQRS}$ where $\mathrm{PQ}=3.6 \mathrm{cm}, \mathrm{QR}=4.3 \mathrm{cm}, \mathrm{RS}=4.4 \mathrm{cm}, \mathrm{PS}=3.9 \mathrm{cm} \mathrm{and} \mathrm{QS}=5.5 \mathrm{cm}$.