This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Translation
Here is how each figure was moved:
a) The figure has moved to a new position without changing its orientation. The triangle inside is still pointing upwards. This is a translation.
b) The figure has been flipped horizontally. The triangle inside, which was pointing right, is now pointing left, creating a mirror image. This is a reflection.
c) The figure has been turned around a point. The triangle inside, which was pointing right, is now pointing downwards. This change in orientation indicates a turn. This is a rotation.
a) b) c)
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a) The figure has moved to a new position without changing its orientation. The triangle inside is still pointing upwards.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.