Question

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

Explanation:

Step1: Recall the property of line of reflection

The line of reflection is the perpendicular bisector of the segment joining corresponding points of a figure and its reflection. For two - dimensional figures, if a figure is reflected over a line, the line of reflection is equidistant from the original figure and its reflection.

Step2: Analyze each option

• In the first option (horizontal line in the upper - left square), the line is not equidistant from the two glove - like figures.
• In the second option (horizontal line in the upper - right square), the line is not equidistant from the two glove - like figures.
• In the third option (vertical line in the lower - left square), the line is not equidistant from the two glove - like figures.
• In the fourth option (vertical line in the lower - right square), the line is equidistant from the two glove - like figures. Each point on one glove - like figure has a corresponding point on the other glove - like figure such that the line of reflection is the perpendicular bisector of the segment joining them.

Answer:

The picture with the vertical line in the lower - right square shows the line of reflection.