Convex Polygons, Graphics Algorithms

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Q.Why are convex polygons considered a better choice for designing graphics algorithms?

My A. Convex polygons are planar and easier to clip.

My answer is kind of brief and I am not sure if my answer is correct, can anyone else expand or give me a better answer for this question please?

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One reason is that convex polygons are easier to triangulate. Another is that it is easier to decide whether a point is inside or outside a convex polygon. Both tasks are important in graphics.