1. To determine if the reflecting pool is a rectangle, you must first show it is a parallelogram (opposite sides are equal and parallel). Then, you need to know if one angle is a right angle or if the diagonals are congruent.
2. Invalid. Additional information needed: The diagonals are perpendicular or one angle is a right angle.
3. Invalid. Additional information needed: The diagonals bisect each other or opposite sides are parallel.
4. Invalid. Additional information needed: The diagonals bisect each other or opposite sides are equal.
5. Valid. Since AB ∥ DC and AD ∥ BC, ABCD is a parallelogram. Given AC = BD, a parallelogram with congruent diagonals is a rectangle.
6. EG = 5, FH = 5, slope of EG = 1, slope of FH = -1 → Rectangle, Rhombus, Square
7. PR = 2√2, QS = 2√2, slope of PR = -1, slope of QS = 1 → Rectangle, Rhombus, Square
Parent Tip: Review the logic above to help your child master the concept of practice 6 2 properties of parallelograms worksheet answers.