Answer: The kind of transformation is REFLECTION.
Step-by-step explanation: We are given to find the kind of transformation that is shown in the figure.
Let us draw a line AB exactly between the original and its image as shown in the attached figure.
If the line AB acts as a mirror, then we see that the original image is reflected to form the image.
Therefore, the transformation shown in the figure is REFLECTION across the line AB.
Thus, the required transformation is REFLECTION.
Given:
A line through the points (7,1,-5) and (3,4,-2).
To find:
The parametric equations of the line.
Solution:
Direction vector for the points (7,1,-5) and (3,4,-2) is
Now, the perimetric equations for initial point with direction vector
, are
The initial point is (7,1,-5) and direction vector is . So the perimetric equations are
Similarly,
Therefore, the required perimetric equations are and
.