Visual representation of different motion types: oscillating, rotary, reciprocating, and linear.

Based on the provided image and standard definitions of motion, I can now solve the problem. The task is to match each type of motion with its corresponding diagram.

Here is the solution:

- Oscillating Motion matches with the second diagram (from the left). Oscillating motion refers to a repetitive back-and-forth movement along a curved path, like a pendulum or a swing. The second diagram shows an arc with arrows indicating this type of motion.
- Linear Motion matches with the fourth diagram (on the far right). Linear motion is movement in a straight line in one direction. The fourth diagram shows a straight line with a single arrow pointing to the right, representing unidirectional linear motion.
- Rotary Motion matches with the third diagram (from the left). Rotary motion is circular movement around a central axis. The third diagram clearly depicts a circle with arrows indicating rotation.
- Reciprocating Motion matches with the first diagram (on the far left). Reciprocating motion involves moving back and forth in a straight line, such as a piston in an engine. The first diagram shows a straight line with double-headed arrows, perfectly illustrating this concept.

Therefore, the correct matching is:
- OSCILLATING → Second Diagram
- LINEAR → Fourth Diagram
- ROTARY → Third Diagram
- RECIPROCATING → First Diagram