Here are the matches for the key terms with their definitions:
- rigid motion: e - a transformation that preserves distance and angle measure; also known as rigid transformation
- rotation: b - the circular motion of a figure around a fixed center point
- reflection: d - a rigid transformation resulting in a mirror image
- transformation: c - a change in the size, position, or orientation of a geometric shape
- reflection: i - the transformation of a shape across a line of reflection
- reflection: j - the production of an image by or as if by using a mirror
- line of symmetry: g - an imaginary line midway between each point of a preimage and its corresponding point on the image after a reflection
- image: a - the new position of a point, line, or figure after a transformation
- origin: f - the intersection of coordinate axes
(Note: Definitions for "reflection" listed twice were matched to different options based on their descriptions.)