If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

In fig(1), line l || line m. Write a pair of corresponding angles.

In the given figure, lines EF and GH are parallel. Find the value of x if the lines AB and CD are also parallel.

Give two examples for parallel venation

Two straight line are parallels if and only if their slopes are ____.

If a set of m paralled lines intersect another set of n parallel lines (not parallelto the lines in the first set), then find the number of parallelograms fromed in this lattice structure.

If a triangle is inscribed in a n ellipse and two of its sides are parallel to the given straight lines, then prove that the third side touches the fixed ellipse.

Slope of a line parallel to X axis is

Write the contrapositive and converse of the following statements. If the two lines are parallel, then they do not intersect in the same plane.