EASY
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In square, each angle is .

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Important Questions on Understanding Elementary Shapes

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).
EASY
The perimeter of a rhombus is 20 cm. The length of one of its diagonals is 6 cm. What is the length of the other diagonal?
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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EASY
The diagonal of a rhombus is 8 m and 6 m respectively. Find its area.
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. 

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 

EASY
XYZ is right angled at Y. If mX=60o, then find the value of (cotZ+2).
MEDIUM
What is the area (in cm2) of the rhombus having side as 20 cm and one of the diagonal as 24 cm?
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

A quadrilateral in which diagonals are not equal but bisect each other at 90° is called _____.

MEDIUM

In the figure, the midpoints of the diagonals of a rhombus are joined to form a small quadrilateral:

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Prove that this quadrilateral is a rhombus.

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A quadrilateral with opposite sides (Only one pair) parallel is called _____.

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The two diagonals of a quadrilateral are 5 cm and 4 cm. Can it be a rectangle? Give reasons.
MEDIUM
Draw rough sketches of concave and convex quadrilaterals. Explain the properties which differentiate them.
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A _____ is a kind of parallelogram.

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Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?
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Name of the following quadrilateral.

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EASY

ABCD is a rectangle, its diagonals meet at O. Find x, if OA=2x+4 and OD=3x+1.

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MEDIUM
Investigate:
Use strips and fasteners to make a triangle and a quadrilateral.
Try to push inward at any one vertex of the triangle. Do the same to the quadrilateral.
Is the triangle distorted? Is the quadrilateral distorted? Is the triangle rigid?
Why is it that structures like electric towers make use of triangular shapes and not quadrilaterals?
EASY

In a square all the sides are _____. (equal/unequal)