Final answer:
To match the set of vertices with the type of quadrilateral they form, we need to identify the characteristics of each quadrilateral: parallelogram, square, rectangle, and rhombus.
Step-by-step explanation:
To match each set of vertices with the type of quadrilateral they form, we need to identify the characteristics of each quadrilateral. Here are the pairs:
- Opposite sides are parallel and congruent, opposite angles are congruent ⇒ parallelogram
- All sides are congruent and opposite angles are congruent ⇒ square
- Opposite sides are parallel and congruent, opposite angles are congruent, and diagonals bisect each other ⇒ rectangle
- Opposite sides are parallel, opposite angles are congruent, and diagonals are perpendicular and bisect each other ⇒ rhombus