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A what of the plane is a transformation which shifts all the points in a plane figure without altering the shape of the figure?
A transformation that shifts all the points in a plane figure without altering the shape of the figure is called a "translation." During a translation, each point of the figure moves the same distance in a specified direction, resulting in a congruent figure in a new position. This operation maintains the figure's size, shape, and orientation.
What else can I help you with?
What is the transformation which shifts all the points in a plane figure without altering the shape of the figure?
the answer is translation
What transformation does not preserve distance and angle measure?
A transformation that does not preserve distance and angle measures is a non-rigid transformation, such as a dilation or a shear transformation. In a dilation, the distances from a center point are scaled, changing the size of the figure but not maintaining the original shape. In a shear transformation, the shape is distorted by slanting it in one direction, altering both distances and angles between points. These transformations result in figures that are not congruent to their original form.
Are dilation rigid motion transformation?
No, dilation is not a rigid motion transformation. Rigid motion transformations, such as translations, rotations, and reflections, preserve distances and angles. In contrast, dilation changes the size of a figure while maintaining its shape, thus altering distances between points. Therefore, while the shape remains similar, the overall dimensions are not preserved.
What is A transformation that is determined by a center point and a scale factor?
A transformation determined by a center point and a scale factor is known as a dilation. In this transformation, all points in a geometric figure are moved away from or toward the center point by a factor of the scale. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. This transformation preserves the shape of the figure but alters its size.
What is the new figure after a transformation is performed?
The new figure after a transformation is the result of applying specific changes to the original shape, such as translation, rotation, reflection, or scaling. Each transformation alters the figure's position, orientation, or size while maintaining its fundamental properties. To determine the coordinates or characteristics of the new figure, one must apply the transformation rules to the original figure's vertices or points accordingly. The resulting figure can vary in appearance but retains the same overall structure and proportions as the original.
What is the transformation which shifts all the points in a plane figure without altering the shape of the figure?
the answer is translation
A transformation in which a figure is turned around a point?
Its called points maybe
What transformation does not preserve distance and angle measure?
A transformation that does not preserve distance and angle measures is a non-rigid transformation, such as a dilation or a shear transformation. In a dilation, the distances from a center point are scaled, changing the size of the figure but not maintaining the original shape. In a shear transformation, the shape is distorted by slanting it in one direction, altering both distances and angles between points. These transformations result in figures that are not congruent to their original form.
When you change coordinates of points of a figure to get another figure the original figure is called what?
The original figure is called the pre-image. After the transformation it becomes the image.
Are dilation rigid motion transformation?
No, dilation is not a rigid motion transformation. Rigid motion transformations, such as translations, rotations, and reflections, preserve distances and angles. In contrast, dilation changes the size of a figure while maintaining its shape, thus altering distances between points. Therefore, while the shape remains similar, the overall dimensions are not preserved.
What is A transformation that is determined by a center point and a scale factor?
A transformation determined by a center point and a scale factor is known as a dilation. In this transformation, all points in a geometric figure are moved away from or toward the center point by a factor of the scale. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. This transformation preserves the shape of the figure but alters its size.
What is the new figure after a transformation is performed?
The new figure after a transformation is the result of applying specific changes to the original shape, such as translation, rotation, reflection, or scaling. Each transformation alters the figure's position, orientation, or size while maintaining its fundamental properties. To determine the coordinates or characteristics of the new figure, one must apply the transformation rules to the original figure's vertices or points accordingly. The resulting figure can vary in appearance but retains the same overall structure and proportions as the original.
What is a type of transformation in which you move a points of a figure the same number of units up or down and left or right?
translation
Where the image has the opposite orientation as the preimage?
The image has the opposite orientation as the preimage when a transformation, such as a reflection, is applied. In this case, the resulting shape or figure is flipped across a line or plane, reversing the order of points and altering the direction of any associated angles. This change in orientation can be observed in geometric transformations, where, for example, a clockwise arrangement of points in the preimage may become counterclockwise in the image.
How do you rotation 90degrees clockwise about the origin on a figure?
To rotate a point or figure 90 degrees clockwise about the origin, you can use the transformation formula: for a point (x, y), the new coordinates after rotation will be (y, -x). Apply this transformation to each vertex of the figure. After calculating the new coordinates for all points, plot them to visualize the rotated figure.
WHICH OF THE FOLLWING IS NOT A CONGRUENCE TRANSFORMATION?
A congruence transformation, or isometry, is a transformation that preserves distances and angles, such as translations, rotations, and reflections. Among common transformations, dilation (scaling) is not a congruence transformation because it alters the size of the figure, thus changing the distances between points. Therefore, dilation is the correct answer to your question.
What describes a rigid motion transformation?
A rigid motion transformation is a type of transformation that preserves the shape and size of geometric figures. This means that distances between points and angles remain unchanged during the transformation. Common examples include translations, rotations, and reflections. Essentially, a rigid motion maintains the congruence of the original figure with its image after the transformation.
