Question

4 choose the properties which will describe that a given quadrilateral is a parallelogram or not. drop each property into their appropriate classification. drag & drop the answer if both pairs of opposite sides of a quadrilateral are congruent if opposite sides are not parallel if both pairs of opposite angles of a quadrilateral are congruent if an angle of a quadrilateral is supplementary to both of its consecutive angles if the diagonals of a quadrilateral bisect each other quadrilateral is a parallelogram quadrilateral is not a parallelogram

Explanation:

Step1: Recall the properties of a parallelogram

A parallelogram has the following properties:

• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• An angle is supplementary to both of its consecutive angles.
• The diagonals bisect each other.

Step2: Analyze each property

• If both pairs of opposite sides of a quadrilateral are congruent: This is a property of a parallelogram.
• If opposite sides are not parallel: A parallelogram has both pairs of opposite sides parallel. So, this property means the quadrilateral is not a parallelogram.
• If both pairs of opposite angles of a quadrilateral are congruent: This is a property of a parallelogram.
• If an angle of a quadrilateral is supplementary to both of its consecutive angles: This is a property of a parallelogram.
• If the diagonals of a quadrilateral bisect each other: This is a property of a parallelogram.

Answer:

Quadrilateral is a parallelogram: If both pairs of opposite sides of a quadrilateral are congruent, If both pairs of opposite angles of a quadrilateral are congruent, If an angle of a quadrilateral is supplementary to both of its consecutive angles, If the diagonals of a quadrilateral bisect each other.
Quadrilateral is not a parallelogram: If opposite sides are not parallel.