Answer:
1)
The distance between the points on the polygon are preserved by the transformation.
- In translation the figure either shift upward or downward or move to the left or right.But the size remains the same and hence the distance between the points remains same.
Hence, in Translation distance is preserved.
- In rotation, the image is just rotated by an angle hence distance is preserved.
- Same is the case of reflection.
Hence Translation, reflection and rotation all preserve the distance between the points.
2)
The orientation of points on the polygon is preserved by the transformation.
" Orientation: It is determined by the order in which a figure's vertices are labeled. It refers to the sequence of points after a transformation has been applied to a geometric figure. The order may be clockwise or counterclockwise "
In Translation and Rotation it is preserved.
whereas in reflection it is not preserved.
3)
The distance between corresponding points in the image and pre-image is constant.
In rotation it is not preserved because the distance between the corresponding points is not preserved.
but in translation it is preserved as every point is shifted 'k' units and same is the case of reflection.
4)
The angle measure between sides on the polygon are preserved by the transformation.
Translation, Reflection and Rotation all preserve the angle measure since just the points are changed the size of the image remains same and hence their angles.
In table it could be represented as:
Translation Rotation Reflection
1) yes yes yes
2) yes yes no
3) yes no yes
4) yes yes yes
