Firstly, you need to know how a magnifying glass works.
A magnifying glass is a convex lens. That means that the magnifying glass consists of two sides of glass and that it is thicker in the middle than the outer edges. That shape of the glass distorts the way we see the image on the other side.
How the image gets distorted is because of the rays that was refracted. The rays are refracted to a focused area called focal point. As we look at the magnifying glass, it is of course magnified. It is the bending of light.
So how did the matchstick get lit up? HOW?!
There is only one simple concept behind this. As the light rays gets refracted to one point, so is the heat. The parellel heat and light rays from the sun got refracted into the focal point through the lens. Thus, lighting up a matchstick.
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