Transversal and Parallel lines #shorts

Transversal to two parallel lines:

Angles Made By A Transversal |Transversal Of Parallel Lines|Practice Questions|OMR

State whether the statements are True or False. Sum of interior angles on the same side of a transversal with two parallel lines is 90^(@)

AP and BQ are the bisectors of the two alternate interior angles formed by the intersection of a transversal t with parallel lines l and m (in the given figure). Show that AP|""|BQ .

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

Condier the following statement if a transversal line cuts two parallel line then 1 Each pair of corresponding angles are equal 2 Each pair of alternalte angles are unequal Among these true statements are

Read the following statements which are taken as axioms (i) If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal. (ii) If a transversal intersect two parallel lines, then alternate interior angles are equal. Is this system of axioms consistent ? Justify your answer.

If a transversal intersects two parallel lines, then alternate interior angles are on the _______ side of the transversal.

If a transversal intersects two parallel lines, then corresponding angles are on the ______ side of the transversal

If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel,then prove that the two lines are parallel.