Identifying parallel lines

Q. If two lines are intersected by third line and the alternate interior angles so formed are equal. Then the lines arelines

Q.

In each of the following figures $AB\parallel CD$and $AC\parallel BD$. Find the values of $x,y$ and $z$.

Q. Consider the following statements.

1. Two lines are parallel if the third line drawn perpendicular to one of these lines is perpendicular to the other line also.
2. Two parallel lines can never meet when extended to either sides.

Which of the above statements are correct ?

1. $1\text{and}2$ both
2. Neither $1$ Nor $2$
3. $1$ Only
4. $2$ Only

Q. Lines $p$ and $q$ are

1. Parallel Lines
2. Intersecting Lines
3. non-parallel lines
4. None

Q. Which criteria will prove line $p||q$

1. $x=y$
2. $z=x$
3. $y=z$
4. $x+y={180}^o$

Q. According to the diagram, tap on the correct pair of parallel lines.

1. $MC\&NQ$
2. $MD\&NP$
3. None of these.

Q.

Look at the following figure and fill in the blanks :

In the figure, $l$ and $m$ are the parallel lines and $p$is a transversal.

$\angle 5+\angle 2=$…………..

Q.
Given that $\angle 1$ and $\angle 5$ are equal, we can conclude that line $CD$ and $PQ$ are parallel.

1. True
2. False

Q. If $\angle 4=\angle 6=\angle 10$, then lines $CD\&PQ\&RS$ are parallel to one another.

1. True
2. False

Q.

If $\angle 1=\angle 2,$then the line $l$and $m$are

Q. Which of the following statements are NOT correct ?

1. If two lines are cut by a transversal and its co-Interior angles are equal to each other then the two lines are parallel to each other.
2. If two lines are cut by a transversal where its alternate Interior angles are equal to each other and corresponding angles are equal to each other then the two lines are parallel.

1. Only statement $1$
2. Only statement $2$
3. Both $1$ and $2$
4. Neither $1$ Nor $2$

Q.

If $\angle 1=\angle 2,$then the line $l$and $m$are