Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

each picture shows a figure and its reflection. which picture shows the…

Question

each picture shows a figure and its reflection. which picture shows the line of reflection?

Explanation:

Step1: Recall reflection line property

The line of reflection is a line such that each point on the original figure and its reflection is equidistant from the line, and the line is the perpendicular bisector of the segment joining corresponding points. Also, the reflected figure should be a mirror - image across the line of reflection.

Step2: Analyze each picture

  • For the first - row left picture: The two gloves are not mirror - images across the horizontal line (the top glove and bottom glove do not have the correct mirror - image relationship).
  • For the first - row right picture: The two gloves are identical, not a reflection (they are not mirror - images across the vertical line).
  • For the second - row left picture: The two gloves are identical, not a reflection (they are not mirror - images across the horizontal line).
  • For the second - row right picture: The two gloves are mirror - images across the vertical line. Each point on the top glove and the corresponding point on the bottom glove is equidistant from the vertical line, and the vertical line acts as the mirror (line of reflection) between the two gloves.

Answer:

The picture in the second - row right (the one with the vertical red line between the two gloves) shows the line of reflection.