Under which transformation are lengths not preserved but angle measures are preserved?

Which transformation does not preserve lengths?

Reflection does not preserve orientation. Dilation (scaling), rotation and translation (shift) do preserve it.

What is a transformation that preserves length and angle measure?

Rigid motion – A transformation that preserves distance and angle measure (the shapes are congruent, angles are congruent).

Which basic transformation preserves lengths and angles?

A rigid transformation preserves both length and angle measurements.

Are angle measures preserved?

a. Any basic rigid motion preserves lines, rays, and segments. … Any basic rigid motion preserves lengths of segments and angle measures of angles. Basic Rigid Motion: A basic rigid motion is a rotation, reflection, or translation of the plane.

Which transformation are in the measures of angles are preserved?

Rotations, translations, reflections, and dilations all preserve angle measure.

Does a glide reflection preserve angles?

Glide reflection changes the orientation: if a polygon is traversed clockwise, its image is traversed counterclockwise, and vice versa. Reflection is isometry: a glide reflection preserves distances. Reflection preserves angles.

Do translations always preserve angle measures?

When you translate something in geometry, you’re simply moving it around. You don’t distort it in any way. If you translate a segment, it remains a segment, and its length doesn’t change. Similarly, if you translate an angle, the measure of the angle doesn’t change.

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Is any linear transformation that preserves angles orthogonal?

Only a subset of linear transformations also preserves angles. Orthogonal transformations preserve length and angles and can easily be characterized. If you want to drop the length condition then also stretching with the same factor along all coordinate axes is allowed.