use properties of quadrilaterals to determine the quadrilaterals that can be constructed with opposit congruent sides but with diagonals that do not bisect opposite angles
rectangle and parallelogram
square and rhombus
trapezoid and parallelogram
rectangle and kite
Rectangle and Parallelogram:
- A rectangle has opposite sides that are congruent and perpendicular to each other, while its diagonals are congruent and bisect each other.
- A parallelogram has opposite sides that are congruent, but its diagonals do not necessarily bisect each other.
Square and Rhombus:
- A square has opposite sides that are congruent and perpendicular to each other, while its diagonals are congruent and bisect each other.
- A rhombus has opposite sides that are congruent, but its diagonals do not necessarily bisect each other.
Trapezoid and Parallelogram:
- A trapezoid does not have opposite sides that are congruent or parallel, and its diagonals do not bisect each other.
- A parallelogram has opposite sides that are congruent, and its diagonals do not necessarily bisect each other.
Rectangle and Kite:
- A rectangle has opposite sides that are congruent and perpendicular to each other, while its diagonals are congruent and bisect each other.
- A kite does not have opposite sides that are necessarily congruent, and its diagonals do not bisect each other.