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Which transformation will create an image that is not congruent to the original?
An enlargement but the angle sizes will remain the same.
A mapping for which the original figure and its image are congruent?
Isometry
What are transformations that result is an image that is the same shape and size as the original?
They are translation, reflection and rotation. An enlargement changes the size of the image.
What is Isometry?
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
Which sequence of tranformations may result in an image that is similar but not congruent to the original figure?
The transformation process is an 'enlargement'
Is rotation always creates a congruent image to the original figure?
Figures are congruent if and only if they are related by a translation, reflection, or rotation, or some combination of these transformations.
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.
Which transformation will create an image that is not congruent to the original?
An enlargement but the angle sizes will remain the same.
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.
What transformations are similar to the original image?
The result of any of the following transformations, or their combinations, is similar to the original image:translation,rotation,enlargement,reflection.
A mapping for which the original figure and its image are congruent?
Isometry
Which transformation does not always result in an image that is congruent to the original figure?
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
What are transformations that result is an image that is the same shape and size as the original?
They are translation, reflection and rotation. An enlargement changes the size of the image.
When a transformation of a slide a flip or a turn is performed is the resulting image congruent or similar to the original?
Congruent in all three cases.
What two transformations can be used to show two figures are congruent?
Two transformations that can be used to show that two figures are congruent are rotation and reflection. A rotation involves turning a figure around a fixed point, while a reflection flips it over a line, creating a mirror image. If one figure can be transformed into another through a combination of these transformations without altering its size or shape, the two figures are congruent. Additionally, translation (sliding the figure without rotation or reflection) can also be used alongside these transformations.
What are the coordinates of the image produced by applying the composition?
To determine the coordinates of the image produced by a composition of transformations, you'll need to apply each transformation step-by-step to the original coordinates. Start with the first transformation, apply it to the coordinates, and then take the resulting coordinates and apply the next transformation. The final coordinates after all transformations will give you the image's location. If specific transformations and original coordinates are provided, I can give a more precise answer.
What is Isometry?
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
