When two lines are intersected by a transversal- what are conditions for these lines to be parallel- When alternate interior angles are equal-When interior angles on the same side of transversal are equal-When corresponding angles are equal-When interior angles on the same side of transversal are supplementary-

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Byju's Answer

Standard VII

Mathematics

Condition for 2 Lines to Be Parallel

When two line...

Question

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

When alternate interior angles are equal.

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

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When corresponding angles are equal.

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

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Solution

The correct options are
A
When alternate interior angles are equal.

C
When corresponding angles are equal.

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

Conditions for two lines to be parallel are:

Alternate interior angles should be equal.

Corresponding angles should be equal.

Sum of Interior angles on the same side of transversal should be 180 degrees.

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Similar questions

Which of the following statements are true (I) and which are false (F)? Give reasons.
(i) If two lines are intersected by a transversal, then corresponding angles are equal.
(ii) If two parallel lines are intersected by a transversal, then alternate interior angles are equal.
(iii) Two lines perpendicular to the same line are perpendicular to each other.
(iv) Two lines parallel to the same line are parallel to each other.
(v) If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are equal.

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

(i) If two parallel lines are intersected by a transversal, then each pair of corresponding angles are ...
(ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are ....
(iii) Two lines perpendicular to the same line are ... to each other.
(iv) Two lines parallel to the same line are ... to each other.
(v) If a transversal intersects a pair of lines in such away that a pair of alternate angles are equal, then the lines are ...
(vi) If a transversal intersects a pair of lines in such away that the sum of interior angles on the same side of transversal is 180°, then the lines are ...

The interior angles formed on same side of transversal when a transversal intersects two lines are called

Q. State true or false:

If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are supplementary

If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are equal.

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