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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 line reflection a direct isometry?
if there is an even number of line reflections then yes. if there is n odd number of line reflections, then no.
True or false- the angle of incidence is always greater than the reflection angle?
False .According to laws of reflection, the angle of incidence is always equal to the angle of reflection.
Which properties are not preserved by an isometry?
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.
Explain why a glide reflection is an isometry?
Because the glide reflection is a combination of two isometries, it is also an isometry.
Is a rotation a isometry?
Not always
Which transformation is not always an isometry?
Dilation
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
A blank is an isometry that maps all points of a figure the same distance in the same direction?
reflection
Does a isometry preserves orientation?
There are four types of isometries:Reflection - preserves ABCD not OAngle MeasureBetweenessCollinearityDistanceNOT OrientationTranslationRotationGlide Reflection
What point of transformation does not move in isometry?
In an isometry, the point of transformation that does not move is called the "fixed point." This point remains unchanged during the transformation, whether it is a translation, rotation, or reflection. For example, in a rotation, the center of rotation serves as the fixed point, while in a reflection, the line of reflection equidistantly bisects the space, with points on the line remaining unchanged.
Is line reflection a direct isometry?
if there is an even number of line reflections then yes. if there is n odd number of line reflections, then no.
Is a composition of any two isometries always is an isometry?
Yes, that is correct.
Is a rotation an isometry?
Yes, a rotation is an isometry.
Is a translation an Isometry?
Yes, translation is part of isometry.
What is an isometry?
A isometry is a transformation where distance (aka size) is preserved. In a dilation, the size is being altered, so no, it is not an isometry.
