EASY
Earn 100

Complete the following table by writing(YES) if the property holds for the particular Quadrilateral and (NO) if property does not holds.

Properties Trapezium Parallelogram Rectangle Rhombus Square
Two pairs of opposite sides are parallel.          

Important Questions on Quadrilaterals

EASY
Three acute angles of a quadrilateral are 82° each. Find out the fourth angle. 
HARD
Let ABCD be a trapezium, in which AB is parallel to CD, AB=11, BC=4, CD=6 and DA=3 . The distance between AB and CD is
MEDIUM

5 : 18 is the ratio of the length and perimeter of a rectangle. What would be the ratio of its length and breadth?

MEDIUM
The length and breadth of a rectangle are in the ratio 11 : 4. If the perimeter of the rectangle is 300 cm, then what is the length (in cm.) of the rectangle?
MEDIUM
A closed polygon has six sides and one of its angles is 30° greater than each of the other five equal angles. What is the value of one of the equal angles?
MEDIUM
The diagonals of a rhombus are 32 cm and 60 cm. What is the perimeter of the rhombus?
EASY

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What is the area of this trapezoidal garden (All measurements are in cm)? 

1. 60 sq.cm
2. 180 sq.cm
3. 210 sq.cm 
4. 240 sq.cm

MEDIUM

Let ABCD be a square. An arc of a circle with A as centre and AB as radius is drawn inside the square joining the points B and D. Points P on AB, S on AD, Q and R on arc BD are taken such that PQRS is a square. Further suppose that PQ and RS are parallel to AC. Then,  area PQRS area ABCD is

 

MEDIUM
How many different (mutually non-congruent) trapeziums can be constructed using four distinct side lengths from the set 1, 3, 4, 5, 6 ?
MEDIUM

In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles:

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What is the perimeter of each of the smaller rectangles?

MEDIUM

A rectangle with 12 cm and 4 cm, reformed into a Rhombus. Both diagonals of Rhombus are equal and one of its angle is 60o. Find the Area of Newly formed Rhombus.

EASY
Shape made by the bisectors of angles of a parallelogram is
MEDIUM
All the vertices of a rectangle are of the form (a, b) with a, b integers satisfying the equation (a-8)2-(b-7)2=5. Then, the perimeter of the rectangle is
MEDIUM
If angles of a quadrilateral are in the ratio 3:5:9:13, find the largest angle.
MEDIUM
Suppose ABCD is a trapezium whose sides and height are integers and AB is parallel to CD. If the area of ABCD is 12 and the sides are distinct, then |AB-CD| is 
 
EASY
Quardrilateral ABCD circumscribes a circle. If AB=8cm,BC=7cm and CD=6cm, then the length of AD is :
MEDIUM
Among all the parallelograms whose diagonals are 10 and 4, the one having maximum area has its perimeter lying in the interval
HARD
Let ABCD be a trapezium with AD parallel to BC. Assume there is a point M in the interior of the segment BC such that AB=AM and DC=DM. Then, the ratio of the area of the trapezium to the area of ΔAMD is
HARD
Let ABC be a triangle with sides a,b,c. Then lengths of medians of the triangle formed by the medians of the triangle ABC are
MEDIUM

How many quadrilaterals are there in the given figure?

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