To identify the quadrilaterals that have the property "Opposite sides are congruent and parallel," let's analyze each type of quadrilateral one by one:
1. Parallelogram:
By definition, a parallelogram is a quadrilateral where both pairs of opposite sides are congruent (equal in length) and parallel. Thus, a parallelogram meets the criteria.
2. Rectangle:
A rectangle is a specific type of parallelogram where all the angles are right angles (90 degrees). Despite the added property of having right angles, it retains the fundamental properties of a parallelogram: opposite sides are congruent and parallel. Therefore, a rectangle meets the criteria.
3. Rhombus:
A rhombus is another specific type of parallelogram where all four sides are of equal length. Like a general parallelogram, in a rhombus, opposite sides are also congruent and parallel. Therefore, a rhombus meets the criteria.
4. Square:
A square can be seen as a special case of both a rectangle and a rhombus. It has all sides of equal length (like a rhombus) and all angles are right angles (like a rectangle). As such, a square satisfies the properties of having opposite sides that are both congruent and parallel. Therefore, a square meets the criteria.
Thus, the quadrilaterals that have the property of having opposite sides congruent and parallel are:
- A. Parallelogram
- B. Rectangle
- C. Rhombus
- D. Square
Therefore, the correct selections are:
☑ A. Parallelogram
☑ B. Rectangle
☑ C. Rhombus
☑ D. Square
