Move the blue points around to investigate the properties of a trapezoid.

What is the definition of a trapezoid?[br][br]What properties do trapezoids have?[br][br]What can you say about side lengths, angles, diagonals?[br][br]Are there certain conditions that give special trapezoids certain properties?

1) Is an isosceles trapezoid a parallelogram?[br]2) Are opposite sides of an isosceles trapezoid congruent? If so, how many pairs?[br]3) Are opposite angles of an isosceles trapezoid congruent?[br]4) Do the diagonals of an isosceles trapezoid bisect EACH OTHER?[br]5) Does a diagonal of an isosceles trapezoid bisect a pair of opposite angles?[br]6) Are the diagonals of an isosceles trapezoid perpendicular? [br]7) Are the diagonals of an isosceles trapezoid congruent?[br]8) Does either diagonal of a isosceles trapezoid serve as a line of symmetry? If so, how many?