Question

4. Which is the given statements are correct?
when two parallel lines are intersected by a transversal the angles formed in each pairs of:

a) statement one :alternative angles are congruent.
b) statement 2: interior angles are supplementary.
c) Corresponding angles are congruent.​

Answer 1

Answer:

(i) If two lines are intersected by a transversal, then corresponding angles are equal.

FALSE

Reason: If a transversal intersects two PARALLEL LINES then each pair of corresponding angles are equal.

(ii) If two parallel lines are intersected by a transversal, then alternate interior angles are equal.

TRUE

Reason : If a transversal intersects two PARALLEL LINES then each pair of alternate interior angles are equal.

(iii) Two lines perpendicular to the same line are perpendicular to each other.

FALSE

Reason : Two lines perpendicular to the same line are PARALLEL to each other.

(iv) Two lines parallel to the same line are parallel to each other.

TRUE

Reason : 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.

FALSE

Reason : If a transversal intersects two PARALLEL LINES then each pair of the interior angles on the same side are supplementary (180°).

HOPE THIS ANSWER WILL HELP YOU…..

Similar questions :

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………..

Step-by-step explanation:

hope it was help full  thank you mark me as brain list