Are the diagonals of a parallelogram perpendicular? Why or why not? Explain.

Question

Does an isosceles trapezoid have two sets of parallel sides? Why or why not? Explain.

Does a rhombus have two sets of congruent sides? Why or why not? Explain.

Answer:

Yes, because the diagonals of a rhombus, which is a parallelogram, are perpendicular. In a parallelogram diagonals bisect each other.

No, because in an isosceles trapezoid the sides that are not parallel are equal.

Yes, because a rhombus has two sets of parallel sides and all sides are congruent.