Chemical change:
A chemical change is a process that results in the formation of one or more new substances with different chemical properties. It involves the breaking and forming of chemical bonds, resulting in a change in the composition and properties of the substances involved.

Explanation:
Out of the given options, the burning of matchsticks is a chemical change. Let's understand why:

Melting of wax:
When wax melts, it undergoes a physical change. The wax changes from a solid state to a liquid state, but its chemical composition remains the same. The molecules of wax rearrange themselves to form a liquid, and when it cools down, it solidifies back into wax.

Cutting of vegetables:
Cutting vegetables is also a physical change. It involves the separation of the vegetable into smaller pieces, but the chemical composition of the vegetable remains the same. The molecules in the vegetable are not altered during cutting.

Shredding of clothes:
Shredding clothes is another example of a physical change. It involves tearing or cutting the fabric into smaller pieces. The chemical composition of the fabric remains the same, and the individual threads may be separated, but no new substances are formed.

Burning of matchsticks:
When a matchstick is burned, it undergoes a chemical change. The heat from the flame causes the chemicals on the matchstick to react with oxygen in the air. This chemical reaction produces new substances, such as carbon dioxide, water vapor, and ash. The matchstick is consumed in the process, and its chemical composition is changed.

So, out of the given options, the burning of matchsticks is the only example of a chemical change.