9514 1404 393
Answer:
a) translation down and right
b) reflection across the y-axis
Explanation:
a) The ABC orientation of both figures is counter-clockwise, so the number of reflections must be zero or another even number. Each image line segment is parallel to the original, so the simplest transformation is translation.
__
b) The orientation of the image is clockwise, while that of the original is counterclockwise. This indicates an odd number of reflections is involved. The y-coordinates of image and original appear unchanged, suggesting a reflection across the y-axis.
_____
Additional comment
Any translation can also be accomplished by reflection across two parallel lines. The amount of translation is double the distance from the first line to the second, and the direction of translation is perpendicular to the lines.
Figure (a) could be the result of a translation across the perpendicular bisector of AA', then across the parallel line through A', for example.