Question

Use the properties of quadrilaterals to determine the quadrilaterals that can be constructed with opposite congruent sides but with diagonals that do not bisect opposite angles. Correct Answers rectangle and parallelogram

Answer 1

To determine the quadrilaterals that can be constructed with opposite congruent sides but with diagonals that do not bisect opposite angles, we can use the properties of quadrilaterals:

1. Rectangle:
- A rectangle has opposite sides that are congruent and all angles are right angles.
- The diagonals of a rectangle are congruent but do not bisect the angles formed by the sides.

2. Parallelogram:
- A parallelogram has opposite sides that are congruent and opposite angles that are congruent.
- The diagonals of a parallelogram bisect each other but do not bisect the angles formed by the sides.

Therefore, the correct answers are the rectangle and parallelogram. These quadrilaterals have opposite congruent sides but their diagonals do not bisect the opposite angles.