We have to evaluate the properties for each type of quadrilateral: parallelogram, rectangle, rhombus, square.
1) Opposite sides are parallel: this is true for the four quadrilaterals.
2) Opposite sides are congruent: meaning that they have the same length. This is also true for the four quadrilaterals.
3) Opposite angles are congruent: this is true for all four quadrilaterals.
4) Consecutive angles are supplementary (add 180°): this is true for all four quadrilaterals.
5) Diagonals bisect each other: this is true for all four quadrilaterals.
6) It has four right angles: this is true for the rectangle and the square.
7) Diagonals are congruent: this is true for the square.
8) All sides are congruent: this is true for the square.
9) Diagonals are perpendicular: this is true for the square and the rhombus.
10) Diagonals bisect the opposite angles: this is true for the square and the rhombus.
11) Diagonals divide the quadrilateral into four congruent triangles: this is true for the square and the rhombus.
We can then complete the table as:
