Lines Parallel To The Same Line | Theorem 6.6 | Examples

Theorem 6.6 : Lines which are parallel to the same line are parallel to each other.

Two lines parallel to the same line are ___ to each other .

Prove that the two lines which are both parallel to the same line are parallel to one another.

Which of the following statements are true (T) 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 angle on the same side of the transversal are equal.

prove that two lines m and n be parallel to the same given line are parallel to each other.

Parellel axis Theorem||Perpendicular axis Theorem||Examples on Perpendicular and Parallel axis Theorem

Theorem 6.5 : If a transversal intersects two lines such that a pair of interior angles on the same side of the transversal is supplementary, then the two lines are parallel.

Vector Equation OF Lines|| Nature OF Lines|| Ceva Theorem|| Menelaus Theorem

Prove that two lines perpendicular to the same line are parallel to each other.

A line touches a circle of radius 6 cm. Another line is drawn which is tangent to the circle. If the two lines are parallel, then the distance between them is: