Explanation:

Parallel Lines:
Parallel lines are two lines in a plane that never intersect. They are always the same distance apart and have the same slope. In other words, they are always equidistant.

Transversal:
A transversal is a line that intersects two or more parallel lines. When a transversal intersects two parallel lines, several pairs of angles are formed.

Corresponding Angles:
Corresponding angles are the angles that occupy the same relative position at each intersection where a straight line crosses two others. In other words, they are the angles that are in the same position when a transversal crosses two parallel lines.

Bisectors of Corresponding Angles:
The bisector of an angle is a line or ray that divides the angle into two equal parts. In the case of corresponding angles, the bisectors of the corresponding angles will be lines or rays that divide the corresponding angles into two equal parts.

Explanation of the Options:
a) Perpendicular: If the bisectors of corresponding angles were perpendicular, it would mean that the corresponding angles themselves are right angles, which is not necessarily true. Therefore, option a) is incorrect.

b) Bisect Each Other: If the bisectors of corresponding angles bisected each other, it would mean that they intersect at a point, which is not necessarily true. Therefore, option b) is incorrect.

c) Intersect: If the bisectors of corresponding angles intersect, it would mean that they cross each other at a point. However, this is not always true. Therefore, option c) is incorrect.

The Correct Option:
d) Parallel: The correct option is d) parallel. When two parallel lines are intersected by a transversal, the corresponding angles are equal. The bisectors of these corresponding angles will also be equal. Since parallel lines never intersect, the bisectors of corresponding angles will also never intersect. Therefore, the bisectors of any two corresponding angles are parallel.

Conclusion:
When two parallel lines are intersected by a transversal, the bisectors of any two corresponding angles are parallel. This is because the corresponding angles are equal and their bisectors will also be equal.

Corresponding angles are parallel to each other then their bisectors are also parallel..