Construction of Special Quadrilaterals

Find the perimeter in $\mathrm{cm}$ of the rhombus, whose diagonals are $16 \mathrm{cm}$ and $30 \mathrm{cm}$.

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

Which type of quadrilateral is obtained by following measurements?

Quadrilateral $\mathrm{ABCD}$ in which $\mathrm{AB}\parallel \mathrm{CD}, \mathrm{AB}=8 \mathrm{cm}, \mathrm{BC}=6 \mathrm{cm}, \mathrm{CD}=4 \mathrm{cm}$ and $\angle \mathrm{B}={60}^{\mathrm{o}}$.

Construct the following squares with the given measurements and also find their area.

$REST, ET=8 \mathrm{cm}$

Construct the following square with the given measurement and also find its area.

$WEST, ST=6 \mathrm{cm}$

Construct the following square with the given measurement and also find its area.

$BEST, BS=7.5 \mathrm{cm}$.

Construct the following rectangle with the given measurement and also find its area.

$SAND, SA=5.6 \mathrm{cm}$ and $SN=4.4 \mathrm{cm}$.

To construct the kite $EASY,$ if $AY=8 \mathrm{cm}, EY=5 \mathrm{cm}$ and $SY=6 \mathrm{cm}$, which properties of the kite did you use in the process?

Can you construct a unique rectangle $PQRS$, if you know only the lengths $PQ$and $QR$?

The pendent is made of red stone and diamond. The two shorter sides of the red stone are congruent and measure 1 cm. The length of the two longer sides are congruent and measure 2 cm and the shortest diagonal measures 1.8 cm.

The area of the red stone is _____ sq cm.

(Express your answer upto 3 decimal places)

Given the kite EFGH, length of the diagonal HF = _____cm

ABCD is a kite. Then ∠ADC = _____degrees.

In the given kite PQRS, which type of triangle is POQ and SOR?

In the given kite ABCD, ∠AOB = _____degrees.

“A similarity between a kite and a parallelogram is that both shapes have congruent opposite sides".

Is the given statement true?

Smitha was making a kite shape using a color paper (as shown in the diagram). If the length of the side MN is 3 inches lesser than double the length of side LM then length of the side NO = _____ inches.

In the kite ABCD, side AB = _____cm.

Which of the listed point’s best describes the shape of a kite?

i. All the sides are unequal

ii. Adjacent sides are congruent

iii. Diagonals are perpendicular

iv. Opposite sides are parallel

If you were asked to make changes to the given shape so as to give it a shape of a kite, what changes would you make to the figure?

Which of the given shapes is that of a kite?