Respuesta :
Yes, all transformations such as translations, reflections, dilations, and rotations preserve parallel lines (parallelism) as well as collinear points (collinearity).
Parallel lines:
- Parallel lines are coplanar straight lines that don't intersect at any point in geometry.
- Parallel planes are planes that never meet in the same three-dimensional space.
- Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.
Collinear points:
- The collinearity of a series of points in geometry is the property of their being on a single line.
- A set of points with this property is known as a collinear set.
- In a broader sense, the term has been applied to aligned objects, that is, things that are "in a line" or "in a row."
So,
- Translation, reflection, dilation, and rotation are all examples of transformation.
- In all of the preceding cases, parallel lines or collinear points will remain parallel or collinear.
Therefore, yes, all transformations such as translations, reflections, dilations, and rotations preserve parallel lines (parallelism) as well as collinear points (collinearity).
Know more about Parallel lines here:
https://brainly.com/question/24607467
#SPJ4
