In the adjoining figure, identify(i) the pairs of corresponding angles.(ii) the pairs of alternate interior angles.(iii) the pairs of interior angles on the sameside of the transversal.(iv) the vertically opposite angles.
Property 2 Pairs of corresponding angles are equal.
Transversal; Corresponding Angles and Alternate Interior Angles
If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is
If two parallel lines are intersected by a transversal , then the interior angles on the same side of the transversal are -
Interior of an angle
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 .......
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.
If a transversal intersects two parallel lines, then alternate interior angles are on the _______ side of the transversal.
