Final answer:
To determine if Δghi → Δgji is a reflection, translation, rotation, or glide reflection, we must analyze the positions of the points. In general, the law of reflection states that the angle of reflection is equal to the angle of incidence.
Step-by-step explanation:
To determine whether Δghi → Δgji is a reflection, translation, rotation, or glide reflection, we need to consider the properties of each transformation:
- Reflection: A flip over a line where the image is a mirror image of the original.
- Translation: A slide where each point of the object moves the same distance in the same direction.
- Rotation: A turn about a fixed point, through a specified angle and direction.
- Glide reflection: A combination of a reflection and a translation along the line of reflection.
In the case of Δghi → Δgji, if points g and i remain fixed while h has been moved to the location of point j, then this cannot be a translation or a rotation, since both require all points to move in a specific manner. It would most likely be a reflection if point j is the mirror image location of point h across a line drawn through points g and i. However, information regarding the specific positions of the points is required for a definitive answer.
Now, addressing the options provided for the law of reflection:
- The correct statement for the law of reflection is a. dr = di, where 'dr' is the angle of reflection and 'di' is the angle of incidence. The angle of reflection equals the angle of incidence.