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What transformation is this moves points a specified distance along a line parallel to a specified line?
The transformation described is known as a translation. In a translation, each point of a shape or object is moved a specified distance in a direction parallel to a given line. This results in the entire shape retaining its orientation and size while being repositioned in the coordinate plane.
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What are lines in which all corresponding points are the same distance apart?
Parallel
Are points parallel if they lie on the same line?
Lines can by parallel or not parallel. This property does not apply to points.
Two lines that do not intersect are?
Parallel lines will never intersect. They will stay an equal distance apart at all points.
What Rotation transformations move all points?
Rotation transformations move all points in a plane around a fixed point, known as the center of rotation, by a specified angle. Every point is rotated to a new position, maintaining the same distance from the center, resulting in a consistent change in the orientation of the shape or object. This transformation preserves the shape and size while altering its position.
What is the locus of points equidistant from two intersecting lines and that are at a given distance from a point O?
The locus of points equidistant from two intersecting lines forms two angle bisectors of the angles created by the lines. When considering points that are at a given distance from a point O, the result is the intersection of the angle bisectors with a circle (or circles) centered at O with the specified radius. This results in two arcs for each angle bisector, forming a total of four distinct points along the angle bisectors, each at the specified distance from point O.
Which transformation moves points perpendicularly across a specified line a distance equal to its original distance from the specified line?
Reflection
What moves points a specified distance along a line parallel to a specified line?
Suppose the specified line has gradient m. Also suppose the specified distance is d.Then x = sqrt[d2/(1 + m2)] and y = m*x.A translation, by a distance x in the horizontal direction and y=mx in the vertical direction will move the point by the specified distance in the direction of the specified line.
What is a circal in math terms?
A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).
What is the transformation that moves points the same distance and in the same direction?
translation
What are lines that are the same distance at all points?
Two or more lines that are the same distance at all points are called parallel lines.
In parallel lines all the points are what from the other line?
the same distance
What are lines in which all corresponding points are the same distance apart?
Parallel
All points along a parallel are the same distance from the equator?
Yes, in geography, all points along a parallel of latitude are indeed the same distance from the equator. This is because parallels are imaginary lines that run parallel to the equator, maintaining the same distance from it as they wrap around the Earth.
What is the locus of points at a given distance of a line?
The locus of points at a given distance to a line would be a line parallel to the first line. Assuming that both lines are straight.
Which lines are always the same distance apart?
Parallel lines are the same distance apart for all points along the line.
Are points parallel if they lie on the same line?
Lines can by parallel or not parallel. This property does not apply to points.
Two lines that do not intersect are?
Parallel lines will never intersect. They will stay an equal distance apart at all points.
