prove a quad is a paralleogram: congruent opposite sides

if both pairs of opposte sides of a quad are congruent, then the quad is a paralleogram

prove a quad is a paralleogram: pair of congruent and parallel opposite sides

if one pair of opposite sides of a quad is congruent and parallel, then the quad is a parallelogram

prove a quad is a paralleogram: 2 pairs of congruent opposite angles

if both pairs of opposite angles of a quad are congreunt, then the quad is paralleogram

prove a quad is a paralleogram: diagonals bisect each other

if the diagonals of aquad bisect each other, then the quad is a parallelogram

paralleogram

1. opposite sides are parallel 2. opposite sides are congruent 3. opposite angles are congruent 4. a diagonal forms two congruent triangles 5. diagonals bisect each other

rectangle

1. opposite sides are parallel 2. opposite sides are congruent 3. opposite angles are congruent 4. a diagonal forms two congruent triangles 5. diagonals bisect each other 6. diagonals are congruent 7. all angles are right angles

rhombus

1. opposite sides are parallel 2. opposite sides are congruent 3. opposite angles are congruent 4. a diagonal forms two congruent triangles 5. diagonals bisect each other 6. diagonals are perpendicular 7. a diagonal bisects two angles 8. all sides are congruent

square

1. opposite sides are parallel 2. opposite sides are congruent 3. opposite angles are congruent 4. a diagonal forms two congruent triangles 5. diagonals bisect each other 6. diagonals are congruent 7. diagonals are perpendicular 8. a diagonal bisects two angles 9. all angles are right angles 10. all sides are congruent