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A composition of reflections across two intersecting lines is a?
Rotation
Skew lines and parallel lines exactly the same?
Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.
Which type of isometry is the equivalent of two reflections across intersecting lines?
Rotation
How do you translate a triangle?
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.
Does a rectangle have parallel lines?
no parallel lines
A composition of reflections across two intersecting lines is a?
Rotation
Can the composite of two reflections be both a rotation and a translation?
No, the composite of two reflections cannot be both a rotation and a translation. When you perform two reflections across two lines, the result is either a rotation if the lines intersect or a translation if the lines are parallel. Thus, the outcome is distinctly one or the other, but not both simultaneously.
Skew lines and parallel lines exactly the same?
Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.
A landscape architect reflects a design for the base of a tree across two parallel lot boundary lines. What is another name for the composition?
translation
Which type of isometry is the equivalent of two reflections across intersecting lines?
Rotation
Is glide reflection equivalent to two reflections across two vertical lines?
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.
How do you translate a triangle?
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.
Draw parallel horizontal 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: _____________________________________ _____________________________________
Can the composite of two reflections ever be both a rotation and a translation?
No, the composite of two reflections cannot be both a rotation and a translation. When two reflections are performed in a plane, the result is either a rotation (if the lines of reflection intersect) or a translation (if the lines are parallel). Therefore, the outcome will always be one or the other, not both simultaneously.
What is the line called going across 2 parallel lines?
Transversal
What is the name of a line which cuts across two parallel lines?
Rude
What is a line that cuts across two or more parallel lines?
transversal line
