Question

sometimes, a motion appears to be a reflection when it really isnt. consider each pair of objects below. which diagrams represent reflections across the given line of reflection? (hint, there may be more than one answer)

Explanation:

Step1: Recall reflection properties

In a reflection, each point of the original figure has a corresponding point on the image figure such that the line of reflection is the perpendicular - bisector of the segment connecting the point and its image.

Step2: Analyze diagram a

For the lightning - bolt shaped objects in diagram a, if we consider the dashed line as the line of reflection, the orientation of the objects is wrong for a reflection. A reflection would reverse the orientation of the object across the line of reflection, but here the orientation seems to be the same in a non - reflective way. So, diagram a is not a reflection.

Step3: Analyze diagram b

For the face and hand image in diagram b, the dashed line is a horizontal line of reflection. Each point on the original figure has a corresponding point on the image figure such that the horizontal line is the perpendicular - bisector of the segment connecting them. The image is a mirror image of the original across the horizontal line. So, diagram b is a reflection.

Step4: Analyze diagram c

For the heart - shaped objects in diagram c, the dashed line is not the perpendicular - bisector of the segments connecting corresponding points of the original and the image. The transformation from the original to the image is not a reflection. It seems more like a rotation or some other transformation. So, diagram c is not a reflection.

Answer:

b