Q: Explain why a glide reflection is an isometry?

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A glide reflection is a combination of translation along some line and reflection in the line. Human footprints are a good example. Glide symmetry is another way to refer to it.

There are four types of isometries:Reflection - preserves ABCD not OAngle MeasureBetweenessCollinearityDistanceNOT OrientationTranslationRotationGlide Reflection

A. Glide reflection b. Orientation of points c. Parallelism of lines d. Areas of polygons

Glide reflection

A glide reflection is a combination of a reflection in a line and a translation along that line. This can be done in either order. A rotational transformation is a rotation around a fixed point or axis.

Related questions

A glide refletion is a glide that has reflection.

No. While it is true for reflection in a straight line, it is not true for other reflections.

A glide reflection is where you reflect the shape and translate it. A glide rotation is where you rotate a shape and translate it. A glide translation doesn't exist.

c

a glide reflection is a composition of a rotation and reflection

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

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reflection

my foot

A glide reflection is a combination of translation along some line and reflection in the line. Human footprints are a good example. Glide symmetry is another way to refer to it.

There are four types of isometries:Reflection - preserves ABCD not OAngle MeasureBetweenessCollinearityDistanceNOT OrientationTranslationRotationGlide Reflection

A. Glide reflection b. Orientation of points c. Parallelism of lines d. Areas of polygons