It looks like you have a set of answers related to transformations and congruence tests, possibly for a geometry class. If you need help with understanding the concepts or reviewing the problems, I can certainly assist with that!
Here’s a brief overview of some relevant topics that may help you:
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Transformations: These include translations (sliding), rotations (turning), reflections (flipping), and dilations (resizing). Each type has specific rules regarding how coordinates change.
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Congruence: Figures are congruent if they can be transformed into each other via transformations (like the ones above) without changing their size or shape.
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Rotation: Rotating points around a center involves using a specific degree of rotation. For example, a 90-degree clockwise rotation results in the transformation of (x, y) to (y, -x).
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Translation: Moving a point (x, y) by adding or subtracting values to its coordinates. For example, translating (x, y) by (2, -3) moves it to (x + 2, y - 3).
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Reflections: Flipping a point across a line, such as the x-axis or y-axis. For example, reflecting (x, y) over the x-axis transforms it into (x, -y).
If you're working on these concepts and need assistance or clarity on any specific question, feel free to ask!