Question

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 ……

Answer 1

Answer:

1.equal

2.supplementary

3.parallel

4.parallel

5.parallel

6.parallel

Answer 2

(i) If two parallel lines are intersected by a transversal, then each pair of corresponding angles are EQUAL.

(ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are SUPPLEMENTARY.

 

(iii) 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.

 

(v) If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are PARALLEL.

(vi) If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is 180°, then the lines are PARALLEL.

HOPE THIS ANSWER WILL HELP YOU…..

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Which of the following statements are true (T) 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.

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