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Identify quadrilateral PQRS.

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Important Questions on Basic Geometrical Ideas

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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
Vertices A, B,C and D of a quadrilateral ABCD lie on a circle, ∠A is three times ∠C and∠D is two times∠B . What is the difference between the measures of ∠D and ∠C?
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
In quadrilateral ABCD, the bisectors of ∠A and ∠B meet at O and ∠AOB=64°, ∠C+∠D=?
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals

A circle is inscribed in quadrilateral ABCD, touching sides AB, BC, CD and DA at P, Q,R and S, respectively. If As=6cm, BC=12cm and CR=5cm, then the length of AB (in cm) is

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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals

How many quadrilaterals are there in the given figure?

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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
In quadrilateral PQRS, RM⊥QS, PN⊥QS and QS=6cm. If RM=3cm and PN=2cm, then the area of PQRS is:
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
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
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
From a point P, which is at a distance of 13 cm from the centre O of a circle, a pair of tangents PQ and PR of length 12 cm are drawn to the circle. The area of the quadrilateral PQOR (in cm2) is:
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
PQRS is a cyclic quadrilateral in which PQ=14.4 cm, QR=12.8 cm and SR=9.6 cm. If PR bisects QS, what is the length of PS?
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
In a quadrilateral ABCD, the bisector of ∠C and ∠D meet at E. If ∠CED=56° and ∠A=49°, then the measure of ∠B is: 
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
In a circle with centre O, AC and BD are two chords. AC and BD meet at E when produced. If AB is the diameter and ∠AEB=68°, then the measure of ∠DOC is:
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
If angles of a quadrilateral are in the ratio 3:5:9:13, find the largest angle.
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
In the given figure, if AB=10 cm, CD=7 cm, SD=4 cm and AS=5 cm, then BC=?
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
Three acute angles of a quadrilateral are 82° each. Find out the fourth angle. 
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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals

Identify the shape which is a quadrilateral.

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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals

Identify the diagonals in the quadrilateral?

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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals

Rahul makes a kite at home to play.

Is kite a quadrilateral?

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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals

Teacher asked Raju and Deepak to draw quadrilateral PQRS.

Raju drew :

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Deepak drew:

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Who has drawn the right quadrilateral?

 

 

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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals

Meena drew a particular shape on a sheet of paper (shown in the diagram) and told her friend that it is a quadrilateral. Is her statement true or false?

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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals

Is the given shape, ABCD a quadrilateral?

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Mathematics>Geometry>Basic Geometrical Ideas>Basics of Quadrilaterals
Draw a rough sketch of a quadrilateral KLMN. State, two pairs of opposite sides.