Construction of Quadrilaterals

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 $90°$'

Draw a Rhombus whose diagonals are $6 \mathrm{c}\mathrm{m}$ and $10 \mathrm{c}\mathrm{m}$ long.

Draw a Rhombus whose diagonals are $4 \mathrm{c}\mathrm{m}$ and $8 \mathrm{c}\mathrm{m}$ long.

Construct a quadrilateral $MORE$, where $MO=5\mathrm{cm}, OR=4.5\mathrm{cm}, \angle M=60°, \angle O=105°, \angle R=105°$, .

Construct a quadrilateral $DEAR$, where $DE=4 \text{cm}, EA=6 \text{cm}, AR=4.5 \text{cm}, \angle E=60° \text{and} \angle A=90°$.

Construct a quadrilateral $ABCD$, where $AB=4.3 \text{cm}, BC=5.2 \text{cm}, CD=6.5 \text{cm}, \angle B=105° \text{and} \angle C=60°$.

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)

It is possible to construct a square $\mathrm{ABCD}$ having $\mathrm{AC}=6.8$ cm.

If a quadrilateral $\mathrm{ABCD}$ has  $AC=6.6$ cm and the diagonals intersecting at $60°$ then it is a rectangle.

 A diagonal of a quadrilateral is a line segment that joins two _____ vertices of the quadrilateral. (Opposite/Adjacent)

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]