EASY
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Give the properties common to both a parallelogram and a rectangle

Important Questions on Understanding Quadrilaterals

EASY

Land is acquired for road widening from a square ground, as shown in the figure. The width of the acquired land is 2 m. Area of the remaining ground is 440 m2. What is the shape of the remaining ground?

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HARD

The perimeter of a rectangle is 42 cm. If its diagonal is 15 cm long, find the breadth of the rectangle. 

(A) 8 cm. 

(B) 10 cm. 

(C) 9 cm. 

(D) 7 cm. 

EASY
XYZ is right angled at Y. If mX=60o, then find the value of (cotZ+2).
EASY
The length of one side and the diagonal of a rectangle are 10 cm and 26 cm respectively. Find the length of the other side (in cm).
MEDIUM

X, Y and Z are the midpoints of the sides of ∆PQR. If the perimeter of ∆XYZ is 32 units, find the perimeter of ∆PQR.

 (A) 128 units 

(B) 64 units 

(C) 96 units 

(D) 160 units 

MEDIUM
If the length of a rectangle is decreased by 5 metres and breadth increased by 3 metres, its area decreases by 9 m2. If its length is increased by 3 m and breadth by 2 m, its area increases by 67m2. What is the length of the rectangle ?
EASY
The diagonals of a rhombus bisect each other at _____°.
EASY
A rhombus is a parallelogram in which _____ sides are equal. 
EASY
A quadrilateral whose diagonals are equal, adjacent sides are not equal and the vertex angles are 90° is a _____.
EASY
If the diagonals of a quadrilateral bisect and are perpendicular to one another the quadrilateral is _____.
EASY
In a rhombus, _____ angles are equal and all sides are equal.
MEDIUM
A rectangle whose adjacent sides are equal becomes a _____.
EASY

If all sides of a quadrilateral are equal, it is a _____.

EASY
A rhombus has _____ pair of parallel sides. (Write the answer in words)
EASY
A parallelogram with adjacent sides equal is _____.
EASY

 In a rhombus diagonals intersect at _____ angles.

EASY

In a _____, all sides are equal and all angles are 90°.

EASY

Complete the statement, so as to make the statement true:

A rhombus has all its sides of _____length.