Prove that the bisectors of two opposite angles of a parallelogram are parallel to each other.

Prove that the bisectors of two adjacent angles of a parallelogram are perpendicular to each other.

Show that the bisectors of angles of a parallelogram form a rectangle.

prove that the line segment joining the midpoints of two opposite sides of a parallelogram divides the parallelogram into two parallelograms with equal area.

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.

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

Show that the line segments joining the midpoints of the opposite sides of a quadrilateral and bisect each other.

Two equal point charges Q=+sqrt(2) mu C are placed at each of the two opposite corners of a square and equal point charges q at each of the other two corners. What must be the value of q so that the resultant force on Q is zero?

Prove that the angles opposite to equal sides of an isosceles triangle are equal.

A charge Q is place at each of the opposite corners of a square. A charge q is placed at each of the other two corners. If the net electrical force on q is zero, then q//Q equals:

Answer each question by selecting the proper alternative from those given below each question so as to make each statement true : The opposite angles of a parallelogram are ………….