Prove that two angles attached to the parallel sides of any isosceles trapezium are equal to each other .

Prove that two adjacent angles of any parallel side of an isoceles trapezium are equal.

Prove that the slant sides of a cyclic trapezium are equal.

Fill in the gaps. Oblique sides of isosceles trapezium are ______.

Using vector properties, show that, a straight line obtained by joining the mid-points of the oblique sides of a trapezium is parallel to the parallel sides of the trapezium and is equal to half of the sum of lengths of the parallel sides.

Prove that the circle drawn with any one of the equal sides of an isosceles triangle as diameter bisects the unequal side.

Prove that the line segment joining the mid-points of the lateral sides of any trapezium is parallel to any of its parallel sides.

Prove that an isosceles trapezium is always cyclic.

The straight line parallel to the parallel sides of a trapezium divides _______ other two sides.

Prove that if two medians of any triangle be equal, then it is an isosceles triangle.

By vector method prove that the straight line joining the midpoints of two non-parallel sides of a trapezium is parallel to the parllel sides and half of their sum.