Question

In a plane, Line AB is parallel to Line CD, and Angle ABC is a right angle. What can you conclude?

A. Line AB is perpendicular to Line BC.
B. Line BC is perpendicular to Line CD.
C. Line BC is perpendicular to Line AD.
D. I, II, and III

Answer 1

Based on the information, Line AB being parallel to Line CD and Angle ABC being a right angle, we conclude that Line AB is perpendicular to Line BC.

Step-by-step explanation:

If Line AB is parallel to Line CD, and Angle ABC is a right angle, we can conclude that Line AB is perpendicular to Line BC.

The fact that Angle ABC is a right angle signals that the lines forming this angle intersect at a 90° angle, constituting a perpendicular relationship. Therefore, based on the given geometric relationships, the correct answer is: A. Line AB is perpendicular to Line BC.

Other options would not logically follow from the information provided as we do not have any information about the angles between lines BC and CD, or AD.