EASY

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Find the number of vertices in a quadrilateral.

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Important Questions on Understanding Elementary Shapes

HARD

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

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.

(D) 7 cm.

EASY

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

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 $440 m^{2}$ . What is the shape of the remaining ground?

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EASY

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

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

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

△ X Y Z

is right angled at

Y

. If

m ∠ X = 60^{o}

, then find the value of

(c o t Z + 2)

MEDIUM

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

If the length of a rectangle is decreased by

5

metres and breadth increased by

3

metres, its area decreases by

9 m^{2}

. If its length is increased by

3 m

and breadth by

2 m

, its area increases by

67

m^{2}

. What is the length of the rectangle ?

EASY

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

Name of the following quadrilateral.

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EASY

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

A quadrilateral has _____ vertices.

EASY

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

Name of the following quadrilateral.

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EASY

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

Name the quadrilateral.

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EASY

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

$A B C D$ is a rectangle, its diagonals meet at $O$ . Find $x$ , if $O A = 2 x + 4$ and $O D = 3 x + 1$ .

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MEDIUM

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

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?

MEDIUM

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

Draw the shape of the book. Name the shape.

EASY

Mathematics>Geometry>Understanding Elementary Shapes>Types of Quadrilaterals and Its Properties

The two diagonals of a quadrilateral are