Question

Q1) Which of the following is not a parallelogram ?

(a) Trapezium (b) Square (c) Rectangle (d) Rhombus

Q2) If the diagonal of a quadrilateral bisect one another at right angle, then the

quadrilateral is a

(a) Rectangle (b)Rhombus (c) Trapezium (d) Parallelogram

Q3) ABCD is a rhombus such that ∠ACB =40°.Then ∠ADB is

(a) 40° (b) 45° (c) 50° (d)60°

Q4) The quadrilateral formed by joining the mid-points of the sides of a quadrilateral

PQRS, taken in order is a rectangle if

(a) PQRS is a rectangle. (b) PQRS is parallelogram.

(c ) Diagonals of PQRS are perpendicular

(d) Diagonals of PQRS are equal.

Q5) If angles A ,B, C and D of the quadrilateral ABCD, taken in order are in the

ratio 3 :7 : 6 : 4 , then ABCD is a

(a) Rhombus (b) Parallelogram (c ) Trapezium (d) Kite

Q6) If APB and CQD are two parallel lines , then the bisectors of the angles APQ,

BPQ,CQP and PQD form

(a) A rhombus (b) a square (c ) a rectangle (d) any other parallelogram

Q7) The diagonals AC and BD of a parallelogram ABCD intersect each other at the

the point O. If ∠ =35° and ∠AOB = 72° then ∠DBC is equal to

(a) 24° (b) 86° (c ) 37° (d) 32°​

Answer 1

Answer:

1) a

2) a

3) b

4) d

5) b

6) b

7) c

all are correct please give thanks and mark as brainlist

Answer 2

Answer:

1. answer is a) Trapezium.

2. answer is b) rhombus.

3. answer is c) 50.

4. answer is c) diagonals of PQRS are perpendicular.

5. answer is c) trapezium.

6. answer is d) any other parallelogram.

7. the question is incomplete. but the most probable answer is c) or d).

Step-by-step explanation:

1. Because trapezium has only one pair of parallel sides but in a parallelogram, if has 2 pairs of parallel sides.

2. It is most probable answer as it is well known fact that diagonals of a rhombus are perpendicular bisector of each other.

3. given, angle ACB = 40°

Then angle C = 40° x 2

= 80°

we know that rhombus is also a parallelogram.

so, the sum of adjacent angles is 180°.

therefore, angle D = (180 - 80)°

= 100°

Hence, angle ADB = 100°/2

= 50°

4. Just in contrast with a rhombus, let us assume PQRS is a rhombus. Then, imagine yourself. You will surely get the answer.

5. (3:7:6:4) No opposite pair of angles are equal which is same in case of the trapezium (no angle is equal).

But in case of kite, parallelogram and rhombus, at least one pair of opposite angles is equal.

6. Draw two pairs of parallel lines of different length and do as directed in the question. You will observe that each time it is forming a different figure. so the answer is d).