Rotation
Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.
Rotation
Within a euclidian plane R2, an isometry f is a translation if it f(x,y) = (x+a,y+b) for all points (x,y) in R2. It can also be constructed as the composition of two reflections in parallel lines.
no parallel lines
Rotation
Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.
translation
Rotation
No. Glide reflection is a combination of an ordinary reflection and a slide along the line of reflection. A two reflections across two vertical lines is a translation without any reflection or rotation.
Within a euclidian plane R2, an isometry f is a translation if it f(x,y) = (x+a,y+b) for all points (x,y) in R2. It can also be constructed as the composition of two reflections in parallel lines.
Parallel lines are lines that, if extended, would never intersect with eachother. This means that they are going in the same direction, eg. | |, but not | \. Horizontal means that that are going across, eg. ___________________, not |. An example of a lines that are parallel and horizontal: _____________________________________ _____________________________________
Transversal
Rude
transversal line
A square and a rectangle have perpendicular and parallel lines. The two side lines extending upwards from the base line are perpendicular to the base line. The line extending from each of the side lines across the top is perpendicular to the side lines. The top line is also parallel to the base line, and the side lines are also parallel to each other.
A square and a rectangle have perpendicular and parallel lines. The two side lines extending upwards from the base line are perpendicular to the base line. The line extending from each of the side lines across the top is perpendicular to the side lines. The top line is also parallel to the base line, and the side lines are also parallel to each other.