Question

engage: which one doesnt belong?
choose one image that you think doesnt belong with the rest.
there are no wrong answers, as long as your reasoning is valid. be prepared to explain your thinking and justify your reasoning.
explain your thinking.

Explanation:

Looking at the four figures: the first three have triangles with vertices on the circle (inscribed angles or triangles), while the bottom - right figure has a right angle (from the small square - like corner) and a triangle with a vertex inside the circle and another at the center? Wait, more clearly, the first three figures have triangles where all the vertices seem to be on the circle (inscribed triangles), but the bottom - right figure has a right angle (indicated by the small square) and also a triangle with a vertex at the center? No, better: the first three figures have triangles with all vertices on the circle (inscribed), and the bottom - right figure has a right - angled triangle (with the right angle marked) and also a vertex at the center? Wait, actually, the bottom - right figure has a triangle with a right angle (the little square) and also a vertex at the center, while the other three have triangles with all vertices on the circle. Alternatively, the bottom - right figure is the only one with a right angle (marked by the square), and the others don't have a right angle. So the bottom - right image (the fourth one) doesn't belong because it has a right - angled triangle (with the right angle symbol) and the other triangles don't have a right angle, or because it has a vertex at the center and a right angle, while the others are inscribed triangles with all vertices on the circle.

Answer:

The bottom - right image (the fourth one in the grid) doesn't belong. For example, it is the only one with a right - angled triangle (indicated by the small square - shaped angle) and also has a vertex at the center (or a non - inscribed - all - vertices - on - circle structure) while the other three have triangles with all vertices on the circle.