Types of Quadrilaterals

Diagonals of a parallelogram _______________ each other.

A quadrilateral which has two pairs of equal adjacent sides but unequal opposite sides is called ________________ .

Perimeters of a rectangle and a square are equal. Which of the following is true ?

The diagonals of a square bisect each other at _________ angle.

The length and breadth of a room are $8 \mathrm{m}$ and $6 \mathrm{m}$ respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat?

In an isosceles trapezium, the length of one of the parallel sides, and the lengths of the non-parallel sides are all equal to $30.$ In order to maximize the area of the trapezium, the smallest angle should be:

Observe the kite given below and answer the following question:

If $CD=13$ units, and $AB=7$ units, what is the measure of $AC$?

Observe the kite given below and answer the following question:

If $CD=13$ units, and$AB=7$ units, what is the measure of $BD$?

What is a Kite shaped quadrilateral? Observe the kite given below and answer the following question:

If $CD=13$ units, what is the measure of $BD$?

What is a Kite shaped quadrilateral? Observe the kite given below and answer the following question:

If $AB=7$ units, what is the measure of $AC$?

In the adjoining figure, $\mathrm{ABCD}$ is a trapezium in which $\mathrm{AB}\parallel \mathrm{DC}$. If $\angle \mathrm{A}=55°$ and $\angle \mathrm{B}=70°$, If $\angle \mathrm{D}-\angle \mathrm{C}=k°$, then find the value of $k$.

Identify the figure, as simple curve $/$ simple closed curve $/$ convex polygon $/$ concave polygon $/$ None of these.

If the perimeter of a rectangular field is $80$ metres and the breadth and length is in the ratio of $2:3$ respectively. What is the area of the field?

$AB$ and $BC$ are two of the eight sides of a regular octagon. An isosceles triangle $ABP$, in which $AP=BP$, is drawn on $AB$, such that the $∆ABP$ and the octagon are on opposite sides of $AB$. If $\angle ABP=72°$ , calculate $\angle PBC$.

Two angles of a convex polygon are right angles and each of other is $120°$. How many sides has the polygon?

Three of the exterior angles of a hexagon are $40°, 51°, 86°$ each. If each of the remaining exterior angle is $x$, calculate the value of $x$ 

One angle of a pentagon is $140°$. If the remaining angles are in the ratio $1:2:3:4$, calculate the measure of the greatest angle. 

The exterior angle of a regular polygon is$\frac{1}{3}rd$ of its interior angle. Find the number of sides of the polygon. 

The angles of a pentagon are $x°, (x-10)°, (x+20)°, (2x-44)°$ and $\left(2x-70\right)°.$ Calculate $x$

Find the number of sides of a regular polygon if each of its exterior angles is $36°$