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What transformation will result in a similar figure?
An enlargement transformation will give the result of a similar shape.
Why are isometric transformation a part of the similarity transformations?
Isometric transformations are a subset of similarity transformations because they preserve both shape and size, meaning that the distances between points remain unchanged. Similarity transformations, which include isometric transformations, preserve the shape but can also allow for changes in size through scaling. However, isometric transformations specifically maintain the original dimensions of geometric figures, ensuring that angles and relative proportions are conserved. Thus, while all isometric transformations are similarity transformations, not all similarity transformations are isometric.
What does congruence transformations mean?
These are transformations that do not change the shape or size, only its location (translation) or orientation (rotation).
What is Isometry?
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
What is a transformations that do not change the size or shape of a figure?
rotationtranslationreflectionshifts (trig)
In any combination of transformations that include translation, rotation and/or reflection, what kind of relationship between the original shape and the final image exists?
choose one of these answers correctly? The final image is smaller than the original shape. The original shape and the final image are congruent. The final image is bigger than the original shape. There is no way to know what that relationship would be.
How do translations reflections and rotations affect the size and shape of an image?
None of these transformations affect the size nor shape of the image.
Which transformation does not produce a congruent image?
A transformation that does not produce a congruent image is a dilation. While dilations change the size of a figure, they maintain the shape, meaning the resulting image is similar but not congruent to the original. In contrast, transformations such as translations, rotations, and reflections preserve both size and shape, resulting in congruent images.
What are the three transformations of math?
The 3 transformations of math are: translation, reflection and rotation. These are the well known ones. There is a fourth, dilation, in which the pre image is the same shape as the image, but the same size in the world
What transformation will result in a similar figure?
An enlargement transformation will give the result of a similar shape.
What is image transformations?
They are 4 different images plotted on the Cartesian plane and they are:- Translation moves each point of a shape in the same distance and direction Reflection a mirror image of a shape Enlargement changes size of a shape by a given scale factor Rotation turns a shape at a given angle and at a fixed point
Why are isometric transformation a part of the similarity transformations?
Isometric transformations are a subset of similarity transformations because they preserve both shape and size, meaning that the distances between points remain unchanged. Similarity transformations, which include isometric transformations, preserve the shape but can also allow for changes in size through scaling. However, isometric transformations specifically maintain the original dimensions of geometric figures, ensuring that angles and relative proportions are conserved. Thus, while all isometric transformations are similarity transformations, not all similarity transformations are isometric.
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 does reflecting a shape mean?
Reflecting a shape means creating a mirror image of the original shape by flipping it over a line called the reflection axis. This results in an image that is an exact copy of the original, but in the opposite direction. The reflection axis serves as the line of symmetry between the original shape and its reflection.
Which transformation does not always result in congruent figures in the coordinate plane?
A transformation that does not always result in congruent figures in the coordinate plane is dilation. While dilations can resize figures, they change the dimensions of the original shape, leading to figures that are similar but not congruent. In contrast, transformations like translations, rotations, and reflections preserve the size and shape of the figures, resulting in congruence.
Why reflections translations and rotation are rigid motion s?
Reflections, translations, and rotations are considered rigid motions because they preserve the size and shape of the original figure. These transformations do not distort the object in any way, maintaining the distances between points and angles within the figure. As a result, the object's properties such as perimeter, area, and angles remain unchanged after undergoing these transformations.
How do you reflect a shape with a given line?
Pick a vertex of the original shape.Draw a perpendicular to the given line.Double the length of this perpendicular. The end point is the image of the original vertex.Repeat for all other vertices of the original shape.Join the vertices of the image.
