If the slopes of two lines are equal, then the lines are __ to each other.

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Solution

If two lines are parallel then their slopes are equal.

Conversely, if the slopes of two lines are equal, then the lines are parallel to each other.

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Similar questions

Which of the following statements are true (I) 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 angles 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 a way that a pair of alternate angles are equal, then the lines are ___
(vi) If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is $180^{0}$ , then the lines are ___

Two lines are drawn through the point (1, 3) one of slope and the other of slope −2. Write the coordinates of one more point on each of these lines. Prove that these lines are perpendicular to each other.

If the slopes of two lines are equal, then the lines are __ to each other.

Q. If two lines are perpendicular with respect to each other, then the product of their slopes is equal to .

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If the slopes of two lines are equal, then the lines are __ to each other.

If two lines are parallel then their slopes are equal. Conversely, if the slopes of two lines are equal, then the lines are parallel to each other.

If two lines are parallel then their slopes are equal.

Conversely, if the slopes of two lines are equal, then the lines are parallel to each other.