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An isometry preserves distances and angles between points, meaning that the shape and size of geometric figures remain unchanged. However, it does not necessarily preserve properties such as orientation (e.g., a reflection changes the orientation) or the position of points in space (e.g., a translation moves points). Additionally, while the overall configuration may remain intact, specific coordinates of points may change.
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Is a rotation a isometry?
Not always
Is reflecting a congruence transformation?
YES ---- Explanation: An isometry is a distance-preserving mapping. . Geometric figures which can be related by an isometry are called congruent. Reflection preserves distance so it is an isometry. It reverses orientation so it is called an indirect orientationl
Is reflection always an isometry?
No. While it is true for reflection in a straight line, it is not true for other reflections.
What are the five properties preserved under a line reflection?
1. distance 2. angle measures 3. parallelism 4. collinearity 5. midpoint
What is isometry that does not change orientation?
It's a transformation that's order of the letters like ABCD of a figure don't change when transformed.
