How many sides does a quadrilateral have?

1

(a)

3

(b)

5

(c)

6

(d)

4

What is the number of vertices of a quadrilateral?

1

(a)

1

(b)

2

(c)

4

(d)

3

How many angles are three in a quadrilateral have?

1

(a)

4

(b)

2

(c)

1

(d)

3

How many diagonals does a quadrilateral have?

1

(a)

1

(b)

2

(c)

3

(d)

4

How many pairs of opposite sides a quadrilateral have?

1

(a)

1

(b)

2

(c)

3

(d)

4

If in quadrilateral ABCD; ∠A=90° and AB=BC=CD=DA, then ABCD is a square.

1

(a)

True

The angles of a quadrilateral are in the ratio 2 : 3 : 6 : 7. The largest angle of the quadrilateral is

1

(a)

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°

Two consecutive angles of a parallelogram are in the ratio 1 : 3, then what will be the smaller angles?

1

(a)

Let the consecutive angles be x° and (3x)°
x°+3x°=180°
4x°=180°
x°=45°
ஃ Smaller angle=x°
=45°

In an equilateral triangle ABC, D and E are the mid-points of sides AB and AC respectively, then length of DE is....

1

(a)

Since D and E are mid-points of sides AB and AC respectively, so, by mid-point theorem, DE=\(\frac{1}{2}\)BC.

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: .....

1

(a)

Given, perimeter of ΔABC=12.8 cm
ஃ Perimeter of ΔDEF=\(\frac{12.8}{2}\)=6.4cm