Final answer:
The correct option is C) Rectangle. A rectangle has all sides parallel and equal across from each other, all angles are right angles (thus equal), and its diagonals bisect each other, which means it has all the properties of a parallelogram.
Step-by-step explanation:
The question asks which quadrilateral has all the properties of a parallelogram. To answer this question, we need to review the properties that define a parallelogram. Those are: both pairs of opposite sides are parallel and equal in length, opposite angles are equal, consecutive angles are supplementary, and the diagonals bisect each other.
Considering the options given:
- A) Isosceles trapezoid: Has one pair of opposite sides that are parallel, but not necessarily all the properties of a parallelogram.
- B) Right trapezoid: Similar to the isosceles trapezoid, it does not have all pairs of sides parallel.
- C) Rectangle: All the properties of a parallelogram are present in a rectangle—it has all sides parallel and equal in length across from each other, all angles are right angles (therefore equal), and its diagonals bisect each other.
- D) Kite: Does not typically have parallel opposite sides, so it doesn't have all properties of a parallelogram.
Thus, the correct option is C) Rectangle.