Proof steps

Parallelogram

1) If both pairs of opposite sides are parallel, then a quadrilateral is a

2) If both pairs of opposite sides are congruent, then a quadrilateral is a

3) If one pair of opposite sides is both congruent and parallel, then a quadrilateral is a

4) If both pairs of opposite angles are congruent, then a quadrilateral is a

5) If the diagonals bisect each other, then a quadrilateral is a

rectangle

1) If a quadrilateral is a parallelogram with one right angle, then it is a

2) If a quadrilateral is equiangular, then it is a

3) If a quadrilateral is a parallelogram whose diagonals are congruent, then it is a

Rhombus

1) If a quadrilateral is a parallelogram with two congruent consecutive sides, then it is a

2) If a quadrilateral is equilateral, then it is a

3) If a quadrilateral is a parallelogram whose diagonals are perpendicular to each other, then it is a

4) If a quadrilateral’s diagonals are perpendicular bisectors of each other, then it is a

5) If the diagonals of a parallelogram bisect its angles, then it is a

Square

1) If a quadrilateral is a rectangle in which two consecutive sides are congruent, then it is a

2) If a quadrilateral is a rhombus with a right angle, then it is a

trapezoid

1) If a quadrilateral has one pair and only one pair of sides parallel, then it is a

isosceles trapezoid

1) If a quadrilateral is a trapezoid whose base angles are congruent, then it is an

2) If a quadrilateral is a trapezoid whose diagonals are congruent, then it is an

3) If a quadrilateral is a trapezoid whose nonparallel sides are congruent, then it is an