Yes, it is! I had this question last night on an assignment for school, and "googled" it because I didn't really know, but yes, it is convex.
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The only convex polygon that is rigid is a triangle.
A convex polygon is defined as a polygon with all its interior angles less than 180°. This means that all the vertices of the polygon will point outwards, away from the interior of the shape. Think of it as a 'bulging' polygon. A triangle (3-gon) is always convex.
A triangle is normally nonconvex on a flat surface
A convex shape.
They are both convex polygons.