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

Your comments:

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.

Your comments:

Question 2 of 20

3. Which of the following is not a parallelogram?

Rectangle

Rhombus

Square

Trapezium

Your comments:

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°

Your comments:

Question 4 of 20

5.  

Rhombus

Kite

Trapezium

Parallelogram

Your comments:

Question 5 of 20

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

Square

Parallelogram

Rhombus

Rectangle

Your comments:

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

Your comments:

Question 7 of 20

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

140°

130°

120°

110°

Your comments:

Question 8 of 20

9. Each diagonal of a parallelogram divides it into two

Right triangles

Triangles

Equilateral triangles

Congruent triangles

Your comments:

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

Your comments:

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

Your comments:

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°

Your comments:

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

Your comments:

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

Your comments:

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°

Your comments:

Question 15 of 20

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

125°

55°

65°

75°

Your comments:

Question 16 of 20

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

60°

55°

50°

40°

Your comments:

Question 17 of 20

18. ∠x + ∠y equals:

∠a - ∠b

2(∠a + ∠b)

∠a + ∠b

2(∠a - ∠b)

Your comments:

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

Your comments:

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

Your comments:

Question 20 of 20

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