Parallel Lines and Transversals

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 the given figure, line l is the transversal intersecting the two lines m and n at P and Q. Which of the following is the pair of alternate interior angles?

∠3 and ∠5

∠3 and ∠7

∠1 and ∠7

∠1 and ∠5

Question 1 of 20

2. Line a makes an angle of 30 degrees with the line b, also line c makes an angle of 30 degrees with line b. Then, ______ .

line a || line c

line a ⊥ line b

line a || line b

line a ⊥ line c

Question 2 of 20

3. In the figure below, the angle a = 150°. The other angle in the figure which is also 150° is:

e

b

d

c

Question 3 of 20

4. If a transversal intersects two parallel lines, then each pair of corresponding angles is ………

Parallel

Perpendicular

Equal

Different

Question 4 of 20

5. In the figure, PQ || MN, the value of x will be

85°

93°

90°

100°

Question 5 of 20

6. The figure below shows a parallelogram. What is the measure of ∠b?

90°

70°

110°

100°

Question 6 of 20

7. In the figure if l ║ m, n ║ p and ∠1 = 85°, then ∠2 is equal to

66°

45°

40°

95°

Question 7 of 20

8. In the given figure, PQ||RS and EF||QS. If ∠PQS = 60°, then the measure of ∠RFE is:

60°

120°

180°

115°

Question 8 of 20

9. In the following figure, the value of x is

125°

55°

60°

45°

Question 9 of 20

10. In the above figure AB || CD. Also, ∠EAB = 84° and ∠ECD = 126°. Then, the value of "x" is

80°

150°

120°

160°

Question 10 of 20

11. Observe the given figure and choose the correct statement

AB ║ AD

BC║ DC

AD ║ CD

AB ║ CD

Question 11 of 20

12. In the figure, AB ║ CD. If ∠2 = (2x + 30)°, ∠4 = ( x + 2y)° and ∠6 = (3y+10)° the measure of ∠5 is

90°

50°

60°

40°

Question 12 of 20

13. In fig., if m||n and ∠a : ∠b = 2 : 3, the measure of ∠h is

72°

120°

108°

150°

Question 13 of 20

14. In the figure, AB || CD and ∠F = 30° the value of ∠ECD is

110°

109°

120°

105°

Question 14 of 20

15. If two parallel lines are intersected by a transversal then, pair of alternate interior angles are:

Equal

Sum of the two angles is 360°

Complementary

Supplementary

Question 15 of 20

16. In the adjoining figure, ∠a = (120 - x)° and b = 5x°, the measures of ∠a and ∠b.

75°, 75°

125°, 55°

100° ,100°

52°, 65°

Question 16 of 20

17. Two parallel lines l and m are such that A, C are the points on l and B, D are the points on m. AB and CD are perpendicular to both l and m. If AB = 4 cm, then CD =

2 cm

8 cm

4 cm

1 cm

Question 17 of 20

18. In the following figure,

m n

m || n

l || n

l m

Question 18 of 20

19. In the following figure, find the value of x.

90°

50°

30°

20°

Question 19 of 20

20. If two straight lines are perpendicular to a line l, then they are

Parallel to each other

The angle between the two lines is 180°

Perpendicular to each other

The lines intersect each other when extended

Question 20 of 20

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