Condition for 2 Lines to Be Parallel

Q.

Ravi drew two lines L and M on a sheet of paper and a third line N to intersect these two lines. He observed that the angles formed by the intersection of the lines L and N were equal to the corresponding angles formed between M and N. What can be said about the lines?

1. Lines L and M are parallel

2. Lines L, M and N are parallel to each other

3. Line N is perpendicular to both the lines L and M

4. Lines L and M are perpendicular

Q.

"Only one transversal can be drawn for given two lines". True/False?

1. True

2. False

Q.

Refer the image below:

The horizontal lines will be parallel if

1. $\angle$ 1 = $\angle$ 4

2. $\angle$ 2 = $\angle$5

3. $\angle$ 4 = $\angle$ 6

4. $\angle$ 1 = $\angle$ 5

Q.

If two non parallel lines lie in the same plane, the lines are ___.

1. perpendicular

2. Intersecting

3. concurrent

4. parallel

Q.

When two lines are intersected by a transversal, what are conditions for these lines to be parallel?

1. When alternate interior angles are equal.

2. When interior angles on the same side of transversal are equal.

3. When corresponding angles are equal.

4. When interior angles on the same side of transversal are supplementary.

Q. A perpendicular line passing through two parallel lines is a transversal.

1. True
2. False

Q. The line which intersects two distinct parallel lines in a plane at two distinct points is called a transversal.

1. True
2. False

Q. If two lines and a transversal form corresponding angles that are equal, then the lines are parallel.

1. False
2. True

Q. Line $l_1$ is parallel to $l_2$ and line $l_2$ is parallel to $l_3$, then line $l_1$ is parallel to $l_3$

1. False
2. True

Q.

In the figure given below, l and m are two parallel lines. Which of the following statement is true?

1. $\angle$1 + $\angle$8 = 180${}^{\circ }$
2. $\angle$7 + $\angle$8 + $\angle$5= 180${}^{\circ }$
3. $\angle$1 + $\angle$2 + $\angle$4 = 180${}^{\circ }$
4. $\angle$3 + $\angle$5 + $\angle$6 = 180${}^{\circ }$