Transversal to two parallel lines:

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^(@)

A transversal cuts two parallel lines PQ and RS at points A and B respectively. The two interior angles at A are bisected and so are the two interior angles at B, the four bisectors form a quadrilateral ACBD. Prove that: ACBD is a rectangle

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.

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 parallel lines; then each of alternate interior angles are equAL.

If a transversal intersects two parallel lines, then sum of interior angles on the same side of a transversal is _______

Theorem 6.4 : If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary.