CBSE | Parallel Lines And Transversal | Ex- 5.2

Parallel Lines and a Transversal

Questions|Parallel Lines And A Transversal|Axiom|Theorem|Questions|OMR

Write the converse of, "the alternate angles formed by two parallel lines and their transversal are congruent."

If two parallel lines intersected by a transversal , then name the pair of angles formed that are equal .

If two parallel lines are cut by a transversal, then the alternate interior angles are equal

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

If a transversal line cuts two parallel lines then bisector of internal angle formed a

If the bisectors of a pair of alternate angles formed by a transversal with two given lines are parallel,prove that the given lines are parallel.

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 angle on the same side of the transversal are equal.

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 line 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 line are .......