Question

which of the following figures shows the reflection of triangle abc over line pq?

Explanation:

Step1: Recall reflection properties

In a reflection over a line, the distance of each point from the line of reflection is the same in the original and reflected - figure. Also, the orientation of the figure changes (left - right or up - down depending on the line of reflection).

Step2: Analyze each option

For option A, the shape and orientation of the reflected triangle seem to follow the rules of reflection over line PQ. The distances of points A, B, and C from line PQ in the original triangle are the same as the distances of their corresponding reflected points from line PQ.
For option B, the connection between the original and reflected points is not correct as per the rules of reflection.
For option C, the orientation and position of the reflected triangle do not match the expected reflection over line PQ.
For option D, the reflected triangle has an incorrect orientation and position relative to the line of reflection.
For option E, the reflected triangle does not follow the rules of reflection in terms of both orientation and position.

Answer:

A.