Question

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

Explanation:

Step1: Recall the definition of line of reflection

The line of reflection is the line that is equidistant from the original figure and its reflection. It is the perpendicular bisector of the line segments joining corresponding points of the original and reflected figures.

Step2: Analyze each option

• In the first option (top - left), the red line is between the two gloves. For a reflection, each point on one glove has a corresponding point on the other glove such that the red line is the perpendicular bisector of the segment joining those points.
• In the second option (top - right), the red line is horizontal. But if we consider the reflection of a glove, a horizontal line would not be the line of reflection as the orientation of the gloves (vertical alignment in terms of reflection) does not match a horizontal line of reflection.
• In the third option (bottom - left), the red line is on the side. If we consider the positions of the gloves, a line on the side is not equidistant from the two gloves.
• In the fourth option (bottom - right), the red line passing through one of the gloves is not equidistant from the two gloves.

Answer:

The first picture (top - left) shows the line of reflection.