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Which transformation will produce a similar but not congruent shape?
A transformation that produces a similar but not congruent shape is a dilation. In a dilation, a shape is resized either larger or smaller while maintaining its proportional dimensions, meaning the angles remain the same but the side lengths change. This results in a shape that is similar to the original but not congruent, as congruent shapes have identical sizes and dimensions.
What is change of origin and change of scale?
Translation and dilation.
What is a transformation that changes the size of a figure but not its shape?
scale Or Dilation
How do you dialate a shape by 3?
To dilate a shape by a factor of 3, multiply the coordinates of each vertex of the shape by 3. For example, if a vertex is at (x, y), after dilation it will be at (3x, 3y). This process enlarges the shape while maintaining its proportions and the center of dilation, which is typically the origin (0,0) unless specified otherwise.
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.
Which transformation will produce a similar but not congruent shape?
A transformation that produces a similar but not congruent shape is a dilation. In a dilation, a shape is resized either larger or smaller while maintaining its proportional dimensions, meaning the angles remain the same but the side lengths change. This results in a shape that is similar to the original but not congruent, as congruent shapes have identical sizes and dimensions.
What is change of origin and change of scale?
Translation and dilation.
Is a scale factor of 1 a dilation?
No a scale factor of 1 is not a dilation because, in a dilation it must remain the same shape, which it would, but the size must either enlarge or shrink.
What is a transformation that changes the size of a figure but not its shape?
scale Or Dilation
A transformation that results in a size change?
Dilation
What is diolation?
dilation is to change or shrink an object.
How do you dialate a shape by 3?
To dilate a shape by a factor of 3, multiply the coordinates of each vertex of the shape by 3. For example, if a vertex is at (x, y), after dilation it will be at (3x, 3y). This process enlarges the shape while maintaining its proportions and the center of dilation, which is typically the origin (0,0) unless specified otherwise.
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 true about the resulting image of a scale factor 3 dilation?
The image is a similar shape to that of the original.
What transformation will not produces a congruent figure?
A transformation that will not produce a congruent figure is a dilation. Dilation changes the size of a figure while maintaining its shape, meaning the resulting figure is similar but not congruent to the original. In contrast, congruent figures have the same size and shape, which is not preserved during dilation. Other transformations that maintain congruence include translations, rotations, and reflections.
What type of transformation can change the size of an image from the original figure?
Dilation.
When Dilating a triangle changes the angles and side length of the triangle.?
Actually, when dilating a triangle, the angles remain unchanged while the side lengths are proportionally increased or decreased based on the scale factor of the dilation. Dilation is a transformation that enlarges or reduces a shape while maintaining its overall proportions. Therefore, the triangle's shape is preserved, but its size changes according to the dilation factor.
