How many sides does a quadrilateral have?

1

(a)

3

(b)

5

(c)

6

(d)

4

If only one pair of opposite sides of a quadrilateral are parallel, then the quadrilateral is a 

1

(a)

Paralleogram

(b)

trapezium

(c)

rhombus

(d)

rectangle

Which of the following is false?

1

(a)

A square is a rectangle

(b)

A square is a rhombus

(c)

A parallelogram is a trapezium

(d)

A kite is a parallelogram.

Which of the following is not true?

1

(a)

A rectangle is not a square

(b)

A rhombus is not a square

(c)

A trapezium is a parallelogram

(d)

A kite is not a parallelogram.

A blackboard is

1

(a)

a parallelogram

(b)

a rhombus

(c)

a trapezium

(d)

kite.

A quadrilateral whose all the four sides and all the four angles are equal is called a

1

(a)

rectangle

(b)

rhombus

(c)

square

(d)

parallelogram.

If the diagonals of a parallelogram are equal and mutually perpendicular, then it will be a

1

(a)

rectangle

(b)

rhombus

(c)

trapezium

(d)

square.

Find the measure of \(\angle \)AGF.
 

1

(a)

60°

(b)

120°

(c)

30°

(d)

90°

If a pair of opposite sides of a quadrilateral is equal and parallel, then the quadrilateral is a

1

(a)

parallelogram

(b)

rectangle

(c)

rhombus

(d)

square

Find the perimeter of quadrilateral BDEF.

1

(a)

8 cm

(b)

11 cm

(c)

7 cm

(d)

3.5 cm

The triangle formed by joining the mid-points of the sides of a angled triangle is a 

1

(a)

scalene

(b)

isosceles

(c)

equilateral

(d)

right

The quadrilateral formed by joining the mid-point of a quadrilateral taken in order is a 

1

(a)

kite

(b)

parallelogram

(c)

rectangle

(d)

square

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 a parallelogram PQRS, if \(\angle \)QRS=2x, \(\angle \)PQS=4x, and \(\angle \)PSQ=4x, find the angles of the parallelogram.

2

(a)

If an angle of a parallelogram in two-third of its adjacent angle then find the measure of all the angles,

2

(a)

Two parallel lines I and m are intersected by a transversal ' t'.Show that the quadrilateral formed by bisectors of interior angles is a rectangle.

2

(a)

In a parallelogram, show that the angle bisectors of two adjacent angles intersect at right angle.

2

(a)

The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle is 50°. Find the angles of a parallelogram

2

(a)

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.

3

(a)

The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.

3

(a)

ABC is an isosceles triangle in which AB = AC AD bisects \(\angle \) PAC and CD II AB. Show that
(i) \(\angle \) DAC =\(\angle \) BCA
(ii) ABCD is a parallelogram

2

(a)

Prove that the opposite angles of an isosceles trapezium are supplementary.

2

(a)

Rani has a photo-frame without a photo in the shape of a triangle with sides a, b, c in length. She wants to find the perimeter of a triangle formed by joining the mid-points of the sides of the photoframe. She could not understand how to overcome this problem. She shares this problem with her classmate Renu. Renu helps her and the required perimeter is computed.
(i) Find the perimeter of the triangle formed by joining the mid-points of the frame.
(ii) Which mathemetical concept is used in the above problem?
(iii) Which value is depicted between Rani and Renu?

5

(a)