Question

Complete the following statement with the word always, sometimes, or never.

The diagonals of parallelogram ___ bisect the angles.

Short answer

The diagonals of parallelogram neverbisect the angles.

Step-by-step solution

Step 1- Apply the concept of parallelogram.

A parallelogram is a quadrilateral with opposite sides parallel and therefore congruent as well as opposite angles congruent.

Step 2- Step description.

Consider that diagonals are line segments joining opposite vertices of a parallelogram.

The property of diagonals of a parallelogram says that diagonals of parallelogram bisect each other but they never bisect the angles.

Step 3- Step description.

Since the diagonals of parallelogram bisect each other but diagonals never bisect the angles.

Therefore, the diagonals of parallelogram never bisect the angles.