Parallelograms: Basic Properties

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. In a parallelogram ABCD, if ∠A = 115°, then ∠B, ∠C and ∠D are

A

B

C

D

Question 1 of 20

2. Choose the correct statement

A trapezoid is a parallelogram.

The diagonals of a parallelogram are congruent, if it is a rectangle.

If one pair of opposite sides of a quadrilateral are parallel the quadrilateral is called a parallelogram

Diagonals of a square are not equal.

Question 2 of 20

3. Which of the following is not a parallelogram?

Rectangle

Rhombus

Square

Trapezium

Question 3 of 20

4. In the figure ABCD is a ||^gm in which ∠DAB = 80° and ∠DBC = 60°, then ∠CDB and ∠ADB are equal to

∠CDB = 60°, ∠ADB = 80°

∠CDB = 30°, ∠ADB = 70°

∠CDB = 50°, ∠ADB = 60°

∠CDB = 40°, ∠ADB = 60°

Question 4 of 20

5.  

Rhombus

Kite

Trapezium

Parallelogram

Question 5 of 20

6. A quadrilateral is a ______ if a pair of opposite sides is equal and parallel

Square

Parallelogram

Rhombus

Rectangle

Question 6 of 20

7. If every pair of adjacent sides of a quadrilateral are equal, then the quadrilateral is a

Rectangle or a trapezium

Square or a Rhombus

Square only

Rhombus only

Question 7 of 20

8. In a parallelogram ABCD, if ∠A = 60°, then ∠D is equal to:

140°

130°

120°

110°

Question 8 of 20

9. Each diagonal of a parallelogram divides it into two

Right triangles

Triangles

Equilateral triangles

Congruent triangles

Question 9 of 20

10. Statement 1: AB||DC and AD||BC and Statement 2:AB=DC and AD=BC
For a quadrilateral ABCD to be a parallelogram,__________

Either Statement 1 or Statement 2 should be true

Both Statement 1 and Statement 2 should be true .

Only Statement 1 should be true.

Only Statement 2 should be true

Question 10 of 20

11. Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be:

2.5 cm

3 cm

4.5 cm

6.5 cm

Question 11 of 20

12. In the figure ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105° and ∠OXC = y. Then y is equal to

90°

60°

45°

50°

Question 12 of 20

13. Which of the following is not true for a parallelogram?

Diagonals bisect each other

Opposite sides are equal

Opposite angles are equal

Opposite angles are bisected by diagonals

Question 13 of 20

14. In a parallelogram, if ∠A = (2x +25)° and ∠B = ( 3x – 5)°, the value of x is

60

100

45

32

Question 14 of 20

15. If an angle of a parallelogram is four-fifths of the adjacent angle, then the angles of the parallelogram are

80°, 100°, 80°, 100°

40°, 140°, 40°, 140°

45°, 135°, 45°, 135°

60°, 120°, 60°, 120°

Question 15 of 20

16. In fig., PQRS is a parallelogram in which ∠PSR = 125°, ∠RQT is equal to

125°

55°

65°

75°

Question 16 of 20

17. In the figure ABCD is a rhombus. If ∠A =70°, then ∠CDB is

60°

55°

50°

40°

Question 17 of 20

18. ∠x + ∠y equals:

∠a - ∠b

2(∠a + ∠b)

∠a + ∠b

2(∠a - ∠b)

Question 18 of 20

19. If APB and CQD are parallel lines and a transversal PQ cut them at P and Q, then the bisectors of angles APQ, BPQ, CQP and PQD form a

Square

Rhombus

Rectangle

Any other parallelogram

Question 19 of 20

20. ABCD is a parallelogram in which AB = 9.5 cm and its perimeter is 30cm. The length of each side of the parallelogram is

AB = 8.5cm = Dc, BC = 8.5cm = DA

AB = BC = DC = DA = 9.5cm

AB = 6.7 cm = BC, DC = DA = 5.7cm

AB = 9.5cm = DC, BC = 5.5 cm = DA

Question 20 of 20

 Loading...