Figures Formed When Parallels Cut

Q. Suppose two lines are given.How many transversal can you draw for these lines?

Q. Question 4
In the given figure, bisectors AP and BQ of the alternate interior angles are parallel, then show that $l||m$.

Q.

When a transversal intersects two parallel lines, then

1. Pairs of interior alternate angles are equal.

2. Pairs of exterior alternate angles are equal.

3. Pairs of corresponding angles are equal.

4. Pairs of co-interior angles are complementary.

Q.

In the given figure if line AB is parallel to line CD then which of the following are true?

1. $\angle AQX=\angle CPY$

2. $\angle AQP=\angle CPQ$

3. $\angle BQX=\angle DPX$

4. $\angle BQP=\angle CPY$

Q.

Question 5 (ii)
In the given figure, the arms of two angles are parallel. If $\Delta ABC={70}^{\circ }$, then find: $\angle DEF$

Q. If partial differentiation of an equation of 2nd degree (representing pair of lines) gives us the point of intersection, then what happens in case of parallel lines?

Q.

Question 1 (ii)
State the property that is used in each of the following statements:

If $\angle 4=\angle 6$, then a||b.

Q.

In the given figure, if $PQ\parallel RS,\angle MXQ={135}^{\circ }$, and $\angle MYR={40}^{\circ }$, find the measure of $\angle XMY$.

Q.

The following diagram shows parallel lines cut by a transversal. Which of the following statements is true?

1. Complementary angle of $x$ is $\frac{x}{2}$

2. Supplementary angle of $x$ is $2x$

3. $x={30}^{\circ }$

4. $x={120}^{\circ }$

Q. If two lines are transversal to three parallel lines, then the number of times they intersect the parallel lines is equal to:

1. 6
2. 5
3. 7
4. 4

Q. A line segment whose end points lie on the circle is called .............. to the circle.

1. Chord
2. Radius
3. Tangent
4. Diameter

Q.

If two lines are transversal to three parallel lines, then the number of times they intersect the parallel lines is equal to-

1. 6

2. 7

3. 5

4. 4

Q.

A line that intersects two lines at distinct points is called as ___.

1. Transversal

2. Parallel Line

3. Perpendicular Line

4. There is no terminology for such a line.

Q.

State the property used in each of the following statements in context of the figure given here

If $\angle 9=\angle 10$ then $a\parallel b$.

Q.

If line segment PQ || line m, and line m || line n, then what is the relation between PQ and line n?

1. $\text{PQ}\parallel \text{line n}$

2. $\text{PQ}\perp \text{line n}$

3. $\text{PQ = line n}$

4. $\text{None of these}$

Q.

In the figure given below, identify the transversal lines.

1. p

2. q

3. l

4. m

Q.

Write True or False.

The two pairs of same-side interior angles are complementary.

1. True
2. False

Q. The angles of the $\Delta ABC$ and $\Delta DEF$ are given as follows;

1. $\sin B=2\sin E$
2. $\sin E=2\sin B$
3. $\sin B=\sin E$
4. $\sin A=\sin B$

Q. In the given figure, AB || CD, then the value of x is

​

1. ${285}^{\circ }$
2. ${75}^{\circ }$
3. ${220}^{\circ }$
4. ${235}^{\circ }$

Q.

In the given figure, if $PQ\parallel RS,\angle MXQ={135}^{\circ }$, and $\angle MYR={40}^{\circ }$, find the measure of $\angle XMY$.

Q.

A line that intersects two lines at distinct points is called as ___.

1. Transversal

2. Parallel Line

3. Perpendicular Line

4. There is no terminology for such a line.

Q.

Two distinct lines can intersect at

1. more than one point

2. two points

3. only one point

4. infinitely many points

Q.

Two lines are cut by a transversal and interior angles on same side are supplementary, the lines are

1. have no relation

2. parallel

3. perpendicular

4. inclined at 120 degrees

Q.

While cutting something, as you increase the angle of the scissors, the vertically opposite angle

1. Increases by same amount

2. Remains constant

3. Increases by double

4. Decreases by same amount

Q.

In the below given figure, there are ___ transversals.

___