Question

question 2
10 pts
g.gsr.3.2 (lc)
when a shape is reflected over a line of reflection, the distance from each corresponding vertex to the line of reflection are _______.

○ different lengths
○ perpendicular
○ parallel
○ congruent to each other

Explanation:

In a reflection transformation, the line of reflection is the perpendicular bisector of the segment joining a vertex and its image. This means the distance from a vertex to the line of reflection and the distance from its image (corresponding vertex) to the line of reflection are equal (congruent). "Different lengths" is incorrect as distances are equal. "Perpendicular" describes the relationship between the segment and the line of reflection, not the distances. "Parallel" is not relevant here as we are talking about distances.

Answer:

D. congruent to each other (assuming the options are labeled A to D with D being "congruent to each other", if original labels were different, adjust accordingly. From the given options, the last option "congruent to each other" is correct.)