Q. 69

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

Answer :

(i) False. If two parallel lines are cut by a transversal, only then the corresponding angles will be equal.

(ii) True. If two parallel lines are cut by a transversal, then the alternate angles will be equal.

(iii) False. Two lines perpendicular to the same line are parallel to each other.

(iv) True.

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

(ii) True. If two parallel lines are cut by a transversal, then the alternate angles will be equal.

(iii) False. Two lines perpendicular to the same line are parallel to each other.

(iv) True.

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

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PREVIOUSIn figure, m and n are two plane mirrors parallel to each other. Show that the incident ray CA is parallel to the reflected ray BD. NEXTFill in 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) If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are ………….(v) Two lines parallel to the same line are ……………to each other.(vi) If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of the transversal is 180°, then the lines are ………….

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