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

A-rectangle and parallelogram
B-square and rhombus
C-trapezoid and parallelogram
D-rectangle and kite

The correct answer is C-trapezoid and parallelogram.

In a trapezoid, the opposite sides are not congruent, so the diagonals do not bisect opposite angles.

In a parallelogram, the opposite sides are congruent, but the diagonals do not bisect opposite angles.