Kinds of Quadrilaterals

Find $\angle B$ and $\angle D$ of the kite $\mathrm{ABCD}$.

Draw a quadrilateral $PQRS$ and draw its diagonal $PR$. Into what type of figures does the diagonal divide it? How many such figures are formed?

In the figure below, $ABCD$ is a kite. If $\angle ABD=40°$ and $\angle DCA=32°$, find the measure of $\angle DAB$ and $\angle ADC$.

A school has carpentry as a vocational education course for the boys after grade $10$. A boy cut a plywood as shape given above. The instructor asked him to make a report as given below.

The shape of the plywood cut is

Calculate $\angle ABC$ and $\angle BAD$ in the following figure:

Ed draws a figure as shown and asks $CJ$ to find the values of $x$ and $y$. What are the measures of $x$ and $y$?

Just say some lines about quardiliterals.

$ABCD$ is a kite. Is $\angle DOA=\angle DOC$? (Yes / No)

If a diagonal of a quadrilateral $30 \mathrm{m}$ and the perpendiculars drawn from opposite vertices are $10 \mathrm{m}$ and $8 \mathrm{m}$, then the area of the quadrilateral is $x {\mathrm{m}}^2$. Find the value of $x$.

A trapezium having non-parallel sides equal is _____.

The right angles of a trapezium PQRS is $\angle \mathrm{P}$ and $\angle \mathrm{S}$. The measures of its sides are shown in the figure. The area of trapezium is $A$ sq cm., then find the value of $A$.

Draw a quadrilateral $\mathrm{PQRS},$ where $\mathrm{PQ}=3 \mathrm{cm}$, $\mathrm{QR}=5 \mathrm{cm}$, $\mathrm{QS}=5 \mathrm{cm}$, $\mathrm{PS}=4 \mathrm{cm}$ and $\mathrm{SR}=4 \mathrm{cm}$. Measure the side $\mathrm{PR}$.

Draw a square whose diagonal is $6.4 cm$. The length of the other diagonal is _____ $\left(6.4/3.2\right) cm$

Draw a rectangle $\mathrm{ABCD}$, while $\mathrm{AB}=5 cm$, $\mathrm{AC}=6 cm$. Measure $\angle \mathrm{BAD}$

Construct a quadrilateral $\mathrm{ABCD}$ in which $\mathrm{AB}=4.4 cm$, $\mathrm{BC}=4 cm$, $\mathrm{CD}=6.4 cm$, $DA=2.8 cm$ and $BD=6.6 cm$. Measure the side $AC$.

One of the interior angle of a regular polygon is $108°$. The number of it's sides are:

Construct a quadrilateral $\mathrm{ABCD}$ in which $\mathrm{AB}=4.1 cm$, $\mathrm{BC}=4.5 cm$, $\mathrm{CD}=3 cm$, $\mathrm{AD}=3.7 cm$ and diagonal $\mathrm{AC}=4.2 cm$.

Construct a rectangle $\mathrm{ABCD}$ when $\mathrm{AB}=4 cm$ and $\mathrm{AC}=6 cm$. Measure $\mathrm{AD}$.

Construct a square $\mathrm{ABCD}$ whose side is $4 cm$. Measure $\mathrm{AC}$.

Construct a quadrilateral $\mathrm{ABCD}$ from the given following measurements.

$\mathrm{BC}=4 cm$, $\angle \mathrm{C}=120°,\mathrm{CD}=5 cm$, $\angle \mathrm{BDA}=26°, \angle \mathrm{A}=64°$