Answer:
A reflection through the line y=x.
Explanation:
Comparing the pre-image and image points, we have
A(3, 1)→A'(-3, -1)
B(1, 8)→B'(-1, -8)
C(7, 2)→C'(-7, -2)
Both the x- and y-values of each point are negated.
A reflection across the x-axis will negate the y-coordinate; a reflection across the y-axis will negate the x-coordinate. Both in one transformation is the same as reflecting across the line y=x.