What is the mirror image of a line?
A transformation where every point on a line segment appears an equal distance on the other side of a given line – the line of reflection. Every point on the line segment AB is “reflected” in the mirror and appears on the other side of the line an equal distance from it.
What does it mean to reflect a line?
A reflection is a transformation representing a flip of a figure. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
What does it mean to reflect a shape?
Reflection – of a polygon A transformation where each point in a shape appears at an equal distance on the opposite side of a given line – the line of reflection. Every point on the original triangle is “reflected” in the mirror and appears on the right side an equal distance from the line.
What does a translation do to an image?
Translation is used to improve visualization of an image, but also has a role as a preprocessor in applications where registration of two or more images is required. Translation is a special case of affine transformation.
What is the rule of translation?
Mapping Rule A mapping rule has the following form (x,y) → (x−7,y+5) and tells you that the x and y coordinates are translated to x−7 and y+5. Translation A translation is an example of a transformation that moves each point of a shape the same distance and in the same direction. Translations are also known as slides.
What does a rotation do to an image?
When an image is rotated, the new locations of some pixels may be outside the image if the input and output image sizes are the same (see Figure 4.3, in which the corners of the input would not have fit within the resultant image).
What is the formula for rotating 180 degrees counterclockwise?
180 Degree Rotation When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y).
What does it mean to rotate about a point?
To rotate a shape or object means to spin it around a specific point (center), without moving it in any other way. Rotation does not affect size or shape.
Is a 180 degree rotation the same as a reflection?
The 180 degree rotation acts like both a horizontal (y-axis) and vertical (x-axis) reflection in one action. The reflection is the same as rotating the figure 180 degrees.
Is a rotation a reflection?
Reflection is flipping an object across a line without changing its size or shape. Rotation is rotating an object about a fixed point without changing its size or shape.
What are the three properties of rotation?
The following are the three basic properties of rotations :
- A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.
- A rotation preserves lengths of segments.
- A rotation preserves measures of angles.
What does 180 degrees look like?
A 180 degree looks like a straight line.