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Published on: 29/08/2019
Quadrilaterals
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Questions + Answers key
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1.
How many pairs of opposite sides a quadrilateral have?
1
2
3
4
2.
How many diagonals does a quadrilateral have?
1
2
3
4
3.
How many angles are three in a quadrilateral have?
4
2
1
3
4.
What is the number of vertices of a quadrilateral?
1
2
4
3
5.
How many sides does a quadrilateral have?
3
5
6
4
6.
D, E, F are the mid-points of sides BC, CA and AB of ΔABC. If perimeter of ΔABC is 12·8 cm, then perimeter of ΔDEF is: .....
7.
In an equilateral triangle ABC, D and E are the mid-points of sides AB and AC respectively, then length of DE is....

8.
Two consecutive angles of a parallelogram are in the ratio 1 : 3, then what will be the smaller angles?
9.
The angles of a quadrilateral are in the ratio 2 : 3 : 6 : 7. The largest angle of the quadrilateral is
10.
If in quadrilateral ABCD; ∠A=90° and AB=BC=CD=DA, then ABCD is a square.
1.
(b)
2
2.
(b)
2
3.
(a)
4
4.
(c)
4
5.
(d)
4
6.
( )

Given, perimeter of ΔABC=12.8 cm
ஃ Perimeter of ΔDEF=\(\frac{12.8}{2}\)=6.4cm
7.
( )
Since D and E are mid-points of sides AB and AC respectively, so, by mid-point theorem, DE=\(\frac{1}{2}\)BC.
8.
( )
Let the consecutive angles be x° and (3x)°
x°+3x°=180°
4x°=180°
x°=45°
ஃ Smaller angle=x°
=45°
9.
( )
Let the angles of the quadrilateral be 2x°, 3x°, 6x°,7x°.
2x°+ 3x°+ 6x°+7x°=360°
[Angle sum property of quadrilateral]
⇒ 18x = 360°
⇒ x=20°
ஃ Largest angle = 7x°= 140°
10.
( )
True
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