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 properties are preserved under a translation?
Properties preserved under a translation from the pre-image to the image.
- distance (lengths of segments remain the same)
- angle measures (remain the same)
- parallelism (parallel lines remain parallel)
- collinearity (points remain on the same lines)
- orientation (lettering order remains the same)
Which properties are not preserved in a reflection?
When lettering changes direction, in this manner, the transformation is referred to as a non-direct or opposite isometry. 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.
What properties are preserved under a reflection?
The line of reflection is the perpendicular bisector of the segment joining every point and its image point. Since under a reflection, the figures remain congruent (same size and shape), a reflection is called a rigid transformation and is said to preserve length.
What properties are preserved under a line reflection?
1. distance (lengths of segments are the same) 2. angle measures (remain the same) 3. parallelism (parallel lines remain parallel) 4.
Is orientation preserved in a reflection?
Reflection does not preserve orientation. Dilation (scaling), rotation and translation (shift) do preserve it.
Which transformational properties are preserved for reflections in a line?
Opposite isometry is reflected in line reflection, dilations and glide reflection. The same properties are preserved, except distance is not preserved with dilations.
What 3 properties are preserved under a dilation?
Dilations preserve angle measure, betweenness of points and collinearity. It does not preserve distance.
What properties are preserved under a dilation?
Dilations preserve angle measure, betweenness of points and collinearity. It does not preserve distance. Simply, dilations always produce similar figures .
Does a reflection preserve congruence?
Dilations preserve congruence while reflections do not. Rotations and reflections both preserve a polygon’s side lengths.
Is parallelism preserved under a reflection?
Properties preserved (invariant) under a line reflection: parallelism (parallel lines remain parallel) 4. colinearity (points stay on the same lines) 5. midpoint (midpoints remain the same in each figure) 6.
Which properties of a figure are preserved after a rotation?
The properties of a figure that are preserved during rotation are distance,angle measures,parallelism,colinearity,midpoint and orientation.