No. While it is true for reflection in a straight line, it is not true for other reflections.
Not always
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
if there is an even number of line reflections then yes. if there is n odd number of line reflections, then no.
False .According to laws of reflection, the angle of incidence is always equal to the angle of reflection.
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.
Because the glide reflection is a combination of two isometries, it is also an isometry.
Not always
Dilation
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
reflection
There are four types of isometries:Reflection - preserves ABCD not OAngle MeasureBetweenessCollinearityDistanceNOT OrientationTranslationRotationGlide Reflection
if there is an even number of line reflections then yes. if there is n odd number of line reflections, then no.
Yes, that is correct.
Yes, a rotation is an isometry.
Yes, translation is part of 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.
Yes. Being congruent is part of the definition of an isometry.