Construction of Quadrilateral

Venu wants to construct a quadrilateral $ABCD$, $AB=4 cm, BC=5 cm, CD=6.5 cm$ and $\angle B = 105°$ and $\angle C = 80°$.  She made a rough sketch with the given information. Which of the following can be her next step?

Which step will comes at third when we construct a quadrilateral of measurement 

$AB = 7.2 cm, BC = 5.8 cm, CD = 6.3 cm, DA = 4.3 cm and \angle A = 75°$

When we construct a quadrilateral $ABCD$ in which $AB=3.7 cm,BC=3 cm,CD=5 cm,AD=4 cm and \angle 90°$, the second step will be ' At A draw an angle of $90°$'

Can you draw these patterns of squares in your notebook?

Draw a rectangle whose length is $7 \mathrm{cm}$ and breadth is $5 \mathrm{cm}$. Construct a square whose area is equal to the area of the rectangle.

Construct a rectangle $ABCD$, when:
Area $=36 {\mathrm{cm}}^2$ and base$=4.5 \mathrm{cm}$

Construct parallelogram $ABCD$, when the perpendicular distances between the pair of opposite sides are $3 \mathrm{cm}$ and $4 \mathrm{cm}$ respectively and one of its angles is $60°$.

Arrange the steps of construction while constructing a quadrilateral $ABCD$ given $AB=5.3 \mathrm{cm}, AD=2.9 \mathrm{cm}, A=70°$, $\angle B=95°$ and $\angle C=85°$.

Step $1$: With $A$ as centre and radius $2.9 \mathrm{cm},$ draw an arc to cut $AX$ at $D$.

Step $2$: At $B$, draw $\angle ZBA=95°$ so that $ZB$ intersects $YD$ at $C$.

Step $3$: Draw $AB=5.3 \mathrm{cm}$.

Step $4$: At $D$, draw $\angle ADY=110°$.

Step $5$: At $A$, draw $\angle XAB=70°$.

A _____ cannot be constructed with the data of the three angles alone, the measurements of the two included sides are also required.

Are these five measurements sufficient to draw a unique quadrilateral $\mathrm{ABCD}$ in which $\mathrm{AB}=6 \mathrm{cm}, \mathrm{BC}=4.5 \mathrm{cm}, \mathrm{AD}=5 \mathrm{cm}, \mathrm{AC}=6 \mathrm{cm}$ and $\angle \mathrm{D}=100°$? (Write answer as Yes or No)

Which type of quadrilateral is obtained by measurements given below:

A quadrilateral $\mathrm{CART}$ with $\mathrm{CR}=6 \mathrm{cm}, \mathrm{AT}=4.8 \mathrm{cm}$

Can you draw a parallelogram $\mathrm{BATS}$ where $\mathrm{BA}=5 \mathrm{cm}$, $\mathrm{AT}=6 \mathrm{cm}$ and $\mathrm{AS}=6.5 \mathrm{cm}$? (Yes/No)

Suppose the two diagonals of a Rhombus are equal in length. Which quadrilateral do you obtain? 

Can you construct the below quadrilateral $\mathrm{ABCD}$ by taking $\mathrm{BC}$ as base instead of $\mathrm{AB}$? (Yes/No)

Can you construct the quadrilateral $\mathrm{PLAN}$ if $\mathrm{PL}=6 \mathrm{cm}$, $\mathrm{LA}=9.5 \mathrm{cm}$, $\angle \mathrm{P}=75°$ , $\angle \mathrm{L}=15°$ and $\angle \mathrm{A}=140°$ . (yes/no)

Can you construct the above quadrilateral $\mathrm{PQRS}$, if we have an angle of $100°$ at $\mathrm{P}$ instead of $75°$. [Yes / No]

A quadrilateral $\mathrm{ABCD}$ can be constructed with $\mathrm{AB}=6 \mathrm{cm}, \mathrm{BC}=7 \mathrm{cm}, \mathrm{CD}=3 \mathrm{cm}, \mathrm{AD}=5.5 \mathrm{cm}$ and $\mathrm{AC}=11 \mathrm{cm}$.

Construct the quadrilateral $\mathrm{YOGA}$ with $\mathrm{YO}=6 \mathrm{cm}, \mathrm{OG}=6 \mathrm{cm}, \angle \mathrm{O}=55°, \angle \mathrm{G}=85°$ and $\angle \mathrm{A}=100°$ and find its area.

Construct the quadrilateral with the given measurements and also find its area.

$\mathrm{WORK}, \mathrm{WO}=9 \mathrm{cm}, \mathrm{OR}=6 \mathrm{cm}, \mathrm{RK}=5 \mathrm{cm}, \angle \mathrm{O}=100°$ and $\angle \mathrm{R}=60°$

Construct the quadrilateral $\mathrm{LIKE}$ with $\mathrm{LI}=4.2 \mathrm{cm}, \mathrm{IK}=7 \mathrm{cm}, \mathrm{KE}=5 \mathrm{cm}, \mathrm{LK}=6 \mathrm{cm}$ and $\mathrm{IE}=8 \mathrm{cm}$, and find its area.