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Transformation that flips a figure over a line?
A reflection?
What single transformation is equivalent to a reflection in the line yx followed by a reflection in the line y-x?
The single transformation equivalent to a reflection in the line ( y = x ) followed by a reflection in the line ( y = -x ) is a rotation of 180 degrees about the origin. This is because reflecting over these two lines effectively flips the coordinates of a point, resulting in a point that is diametrically opposite to the original with respect to the origin.
How are points and their images related to the line of reflection?
The line of reflection is the perpendicular bisector of any point and its image.
Is a reflection and glide the same thing?
No, a reflection and a glide are not the same thing. A reflection is a transformation that flips a shape over a line, creating a mirror image. In contrast, a glide involves two transformations: a reflection over a line and a translation along that line. Thus, while both involve flipping, a glide also includes a movement, making them distinct concepts in geometry.
How can you find the line of reflection if you know the images of some points?
Draw a line joining a point and its image and find its midpoint. Repeat for another pair of point and its image. The line joining these midpoints is the line of reflection.
Transformation that flips a figure over a line?
A reflection?
What is a transformation that flips a figure over a line?
A reflection.
What single transformation is equivalent to a reflection in the line yx followed by a reflection in the line y-x?
The single transformation equivalent to a reflection in the line ( y = x ) followed by a reflection in the line ( y = -x ) is a rotation of 180 degrees about the origin. This is because reflecting over these two lines effectively flips the coordinates of a point, resulting in a point that is diametrically opposite to the original with respect to the origin.
A transformation of a figure that flips the figure across a line is?
Its like flipping it's a reflection
How are points and their images related to the line of reflection?
The line of reflection is the perpendicular bisector of any point and its image.
What are 3 transformations and where they happen?
Three types of transformations are translation, rotation, and reflection. These transformations can occur in a plane, on a grid, or in three-dimensional space. Translation moves an object without changing its orientation, rotation turns an object around a fixed point, and reflection flips an object across a line.
Is a reflection and glide the same thing?
No, a reflection and a glide are not the same thing. A reflection is a transformation that flips a shape over a line, creating a mirror image. In contrast, a glide involves two transformations: a reflection over a line and a translation along that line. Thus, while both involve flipping, a glide also includes a movement, making them distinct concepts in geometry.
How can you find the line of reflection if you know the images of some points?
Draw a line joining a point and its image and find its midpoint. Repeat for another pair of point and its image. The line joining these midpoints is the line of reflection.
What linear relationship defines the movement of a reflection?
The movement of a reflection is defined by the linear relationship between the original point and its image across a line of reflection. If the line of reflection is represented by the equation (y = mx + b), the coordinates of the reflected point can be calculated using the perpendicular bisector method, ensuring that the original point and its image are equidistant from the line. This relationship maintains equal angles of incidence and reflection, creating symmetry across the line.
What is the line of reflection?
The line of reflection is a line on which a shape is reflected to create its mirror image. It acts as a symmetry line, where each point on one side of the line is mirrored on the other side.
How do you determine the coordinates of a point after a reflection in the you axis?
To determine the coordinates of a point after a reflection in the y-axis, you simply negate the x-coordinate while keeping the y-coordinate the same. For a point with coordinates ((x, y)), its reflection across the y-axis will be at ((-x, y)). This transformation effectively flips the point over the y-axis, maintaining its vertical position but reversing its horizontal position.
How do you determine the coordinates of a point after a reflection in the y-axis?
To determine the coordinates of a point after a reflection in the y-axis, you simply negate the x-coordinate while keeping the y-coordinate the same. For example, if the original point is represented as (x, y), the reflected point will be (-x, y). This transformation effectively flips the point across the y-axis.
