Definition of Parallel Lines

Q.

An angle is one-fifth of its supplement. Find the measure of the angle.

Q.

A line has an infinite length. State whether true or false.

1. True

2. False

Q.

Find the supplementary of $\frac{3}{5}$ of a right angle

Q.

How many intersection points can a line have with a circle depending on its position?

1. 2

2. 0 or 1

3. 1

4. 0, 1 or 2

Q. In the figure, $p$ is transverse to lines m and n, $\angle 1={60}^o$ and $\angle 2=\frac{2}{3}$ of a right angle. Prove that $m\parallel n$.

Q.

An angle is $5$ times its supplement. Find the angle.

Q.

Write the supplement of the following angles.

$142°21$

Q.

When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines are

1. parallel

2. inclined at 120${}^{\circ }$

3. None of the above

4. perpendicular

Q.

Name four tools used for drawing shapes. [1 MARK]

Q.

Two lines are such that they don't have any point in common to each other. Then these two lines are called as _______.

1. intersecting lines

2. parallel lines

3. None of the above
4. (a) and (b) above.

Q.

What is the equation of the line parallel to the line $y=3x+2$ passing through the point $(10,1)$ $?$

Q.

There are four lines in a plane no two of which are parallel. The maximum number of points in which they can intersect is :

1. 4

2. 5

3. 6

4. 7

Q.

In the following figure, line l is parallel to line m, then the value of x is:

1. 126^o

2. 64^o

3. 54^o

4. 74^o

Q.

Question 101

In the given figure, if l || m, find the values of a and b.

Q.

Pavan drew two lines and he measured some angles. He found that $\angle 1=\angle 5$ and so he concluded that the two lines are parallel.

State whether his conclusion is true or false.

1. True

2. False

Q.

The two lines moving in the same direction & always having an equal distance between them are known as:

1. Parallel lines

2. Intersecting lines

3. Collinear lines

4. None of the given options

Q. Prove that:
(i) ∆ ABC ≅ ∆ ADC
(ii) ∠B = ∠D
(iii) AC bisects angle DCB.

Q. What are parallel lines ?

Q. In the given figure, AOB is a straight line and the ray OC stands on it.
If ∠AOC = (2x − 10)° and ∠BOC = (3x + 20)°, find the value of x.
Also, find ∠AOC and ∠BOC

Q.

$A(2,5),B(-1,2)andC(5,8)$are the vertices of a triangle $ABC$, ‘$M$’ is a point on $AB$ such that $AM:MB=1:2$. Find the coordinates of ‘$M$’. Hence, find the equation of the line passing through the points $C$ and $M$.

Q. the angle made by line joining (5, 2) and (6, -5) at (0, 0) is

Q.

Select the correct statement(s).

1. Two lines which are both perpendicular to a third line are perpendicular to each other.

2. Two lines which are both perpendicular to a third line are parallel to each other.

3. When a transversal intersects two lines and the co-interior angles are supplementary, then, the corresponding angles are equal.

4. When a transversal intersects two lines such that the corresponding angles are equal, the lines are parallel.

Q. The direction ratios of two parallel lines are $4,-3,-1$ and $\lambda +\mu ,1+\mu ,2$. Then $(\lambda ,\mu )$is:

1. $(-4,8)$
2. $(-1,-7)$
3. $(7,1)$
4. $(-13,5)$

Q.

Four lines p, q, r and s are said to be concurrent. What do they pass through?

1. Different points

2. Same line

3. Same plane

4. Same point

Q.

Parallel lines make ___ angles with a transversal.

1. no

2. 180${}^{\circ }$

3. 90${}^{\circ }$

4. equal

Q.

Two lines parallel to each other intersect at a unique point.

1. True

2. False

Q.

Two supplementary angles are in the ratio of 7:5. Find them.

Q.

When two lines are cut by a transversal and their alternate interior angles are equal, then the lines are

1. perpendicular

2. inclined at 120 degrees

3. inclined at 60 degrees

4. parallel

Q. The graphical representation of the pair of equations $x+2y-4=0and2x+4y-12=0$ is:

1. Coincident lines
2. All the above
3. Intersecting lines
4. Parallel lines

Q. Give a definition for Parallel lines