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what does a line reflection preserve

by Rico Lindgren Published 3 years ago Updated 2 years ago
image

The line of reflection is the perpendicular bisector of the segment joining every point and its image point. • Since under a reflection, the figures remain congruent (same size and shape), a reflection is called a rigid transformation and is said to preserve length.

Do line reflections preserve orientation?

✓ The flip is performed over the “line of reflection.” Lines of symmetry are examples of lines of reflection. ✓ Reflections are isometric, but do not preserve orientation. TRANSLATIONS: ✓ Translations are a slide or shift.

Why is the line of reflection important?

What is important to note is that the line of reflection is the perpendicular bisector between the preimage and the image. Thus ensuring that a reflection is an isometry, as Math Bits Notebook rightly states.

What is a line of reflection?

When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

How do you describe the line of reflection?

A reflection is a transformation that acts like a mirror: It swaps all pairs of points that are on exactly opposite sides of the line of reflection. The line of reflection can be defined by an equation or by two points it passes through.

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