Not always
An isometry is a transformation that preserves distances between points, and it can either preserve or reverse orientation. For example, a rotation is an isometry that preserves orientation, while a reflection is an isometry that reverses orientation. Therefore, whether an isometry preserves orientation depends on the specific type of transformation being applied.
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
No. While it is true for reflection in a straight line, it is not true for other reflections.
True. An isometry is a transformation that preserves distances and angles, meaning that the preimage and image are congruent. Examples of isometries include translations, rotations, and reflections, all of which maintain the shape and size of geometric figures.
It's a transformation that's order of the letters like ABCD of a figure don't change when transformed.
Yes, a rotation is an isometry.
Rotation
Theorem 5.12- A rotation is a composition of two reflections, and hence is an invertible 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.
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.
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
Because the glide reflection is a combination of two isometries, it is also an isometry.
(x,y) (-x,-y)
Dilation.
no