Parallel Lines and Transversal

Q. How many transversals can be drawn to 2 distinct lines?

1. 2
2. 10
3. Infinitely many
4. 1

Q.

Which diagram shows lines that must be parallel lines cut by a transversal?

1. 

2. 

3. 

4. 

Q.

The edges of the top of a rectangular table form ___ pair of parallel lines and intersect at _____ different points.

1. 2, 2

2. 2, 4

3. 4, 4

4. 4, 2

Q. In the following figure, a, b and c are three lines. Which line will act as a tranversal?

1. Line b
2. Line c
3. None of the lines will act as a transversal.
4. Line a

Q.

In the given figure, AB || DE. ∠A = 43⁰ and ∠BDE = 57⁰. The value of ∠x is ________.

1. 57${}^{\circ }$
2. 34${}^{\circ }$
3. 75${}^{\circ }$
4. 43${}^{\circ }$

Q. When a transversal cuts two parallel lines, the number of pairs of corresponding angles formed are _______.

1. 3
2. 2
3. 4
4. 5

Q. In the figure given below, $AB||CD,AF||ED,\angle AFC={68}^{\circ }and\angle FED={42}^{\circ }$.
Find the value of $\angle EFD$.

1. ${170}^{\circ }$
2. ${50}^{\circ }$
3. ${70}^{\circ }$
4. ${90}^{\circ }$

Q. From the figure given, find the sum of $x,y$ and $z$.

1. ${180}^{\circ }$
2. ${70}^{\circ }$
3. ${80}^{\circ }$
4. ${190}^{\circ }$

Q.

Suresh and Ramesh saw two perpendicular lines, and made the following statements:
Suresh: If two lines are perpendicular then the maximum number of right angles formed between them is 2.

Ramesh: If two lines are perpendicular then the maximum number of right angles formed between them is 4.

1. Both are incorrect.

2. Suresh is correct, Ramesh is incorrect.

3. Suresh is correct, Ramesh is also correct.

4. Suresh is incorrect, Ramesh is correct.

Q. How many angles are formed when a transversal cuts two parallel lines?

1. 2
2. 4
3. 6
4. 8

Q.

The angles, formed on same side of transversal when it intersects two lines, are called _______ angles.

Q.

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as centre an arc FG is drawn (as shown in the figure).

What is the relation between $\angle$FAG and $\angle$MBD?

1. alternate exterior angles

2. alternate interior angles

3. corresponding angles

4. vertically opposite angles

Q.

When a transversal intersects two lines then the angles formed at two distinct points on the same side of transversal such that one is exterior and other is interior are called _____ angles.

Q. The measures (in degree) of two supplementary angles are two consecutive odd integers. Find the larger angle.

1. 93°
   

2. 91°

3. 27°
   
4. 89°
   

Q.

Identify which of the following pairs of angles are complementary and which are supplementary.

(i) 65°, 115° (ii) 63°, 27°

(iii) 112°, 68° (iv) 130°, 50°

(v) 45°, 45° (vi) 80°, 10°

Q. In the adjoining figure, identify the pair of interior angles on the same side of the transversal.

Q. In Fig., state which lines are parallel and why?

Q. Find the complement of supplement of 130°

Q. Angle A and B are supplementary. If angle A=x? and angle B=(x-10)?. Find the measure of both angles

Q. Lines which are parallel to the same line are to each other.

1. parallel
2. intersecting
3. diverging
4. perpendicular

Q. Two angles are supplementary. If one of them is one third of the other, find the angles.

Q. Fill in the blank in each of the following to make the statement true:​

iii. Two lines perpendicular to the same lines are to each other.​

Q. You know that words like ‘friends’ and ‘ends’ rhyme with each other. But do you know that complete lines can also rhyme with one another? For example, lines 1 and 3 in stanza 1 rhyme with each other. Both the lines have the same structure. This is called parallelism. Sometimes, they carry the same theme too - like these two lines. But they can contrast with each other too. There is such a pair in this poem. Pick it out.

Q. Which of the given concepts can be used for the construction of a line parallel to a given line?

1. Vertically opposite angles are equal.
2. Alternate interior angles are supplementary.
3. Corresponding angles are equal.
4. Co-interior angles are equal.

Q. Use the following information to answer the next question.
Two supplementary angles are such that the smaller angle is twenty-one degrees less than half of the other angle.
The measure of the bigger angle is

Q. An angle is 30 degree less than 2 times of its supplement. Find the angle