What does a line reflection not preserve?

Properties preserved under a line reflection from the pre-image to the image. The orientation (lettering around the outside of the figure), is not preserved. The order of the lettering in a reflection is reversed (from clockwise to counterclockwise or vice versa).

What is preserved with a reflection?

the perpendicular distance of the object point to the mirror is equal to the perpendicular distance of its image from the mirror line. Reflection preserve the distance between two points. Reflection is a congruence transformation. Under a reflection the image is laterally inverted.

What transformations do not preserve distance?

Dilations are not a distance-preserving transformation like the rigid transformations. For every point , other than the center, the point is assigned to , which is the point on so that the distance from to is . The fact that distances are scaled means the transformation is not distance preserving.

Why a reflection does not preserve orientation?

Orientation is how the relative pieces of an object are arranged. Rotation and translation preserve orientation, as objects’ pieces stay in the same order. Reflection does not preserve orientation.

Which representation of a transformation does not preserve congruence?

dilations
Transformations include rotations, reflections, translations, and dilations. Students must understand that rotations, reflections, and translations preserve congruence but dilations do not unless the scale factor is one.

Do line reflections preserve parallelism?

The line of reflection is the perpendicular bisector of the segment joining every point and its image. A line reflection creates a figure that is congruent to the original figure and is called an isometry (a transformation that preserves length). parallelism (parallel lines remain parallel) 4.

What properties are not preserved under dilation?

Dilations preserve angle measure, betweenness of points and collinearity. It does not preserve distance. Simply, dilations always produce similar figures .

What property is preserved under translations but not under reflections?

Using this definition, orientation is preserved using translations, dilations, and rotations. It is not preserved for a reflection. –orientation of the figure is the direction in which the figure is placed in the plane. It is preserved by dilation and translation, but not by reflection or rotation.

What transformation does not preserve congruence?

Students must understand that rotations, reflections, and translations preserve congruence but dilations do not unless the scale factor is one.

What transformations does not preserve distance and angle measures?

We call transformations that don’t preserve length and angle measurement (as in a dilation) a non-rigid transformation. Altogether, we have three transformations that are rigid transformations which preserve length and angle measurement: translations, rotations, and reflections.