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Which transformations will always produce a congruent figure?
translation
What three transformations have isometry?
The three transformations that have isometry are translations, rotations, and reflections. Each of these transformations preserves the distances between points, meaning the shape and size of the figure remain unchanged. As a result, the original figure and its image after the transformation are congruent.
Which of the following transformation will always produce a congruent figure?
The identity transformation.
What transformation will result in a similar figure?
An enlargement transformation will give the result of a similar shape.
What is the difference between a similar figure and a congruent figure?
A similar figure has the same interior angles as a congruent figure but its sides are in proportion to a congruent figure.
Which of the transformations will produce a similar but not congruent figure?
A dilation would produce a similar figure.
Which transformations will always produce a congruent figure?
translation
What transformations will produce a figure that is similar but not congruent to the original figure besides rotation?
Please don't write "the following" if you don't provide a list. We can't guess that list.
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 transformations produce a congruent shape?
Translation, rotation, reflection.
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 sequence of transformation produces an image that is not congruent to the original figure?
A sequence of transformations that produces an image not congruent to the original figure typically involves a dilation combined with one or more rigid transformations (such as translation, rotation, or reflection). Dilation changes the size of the figure without altering its shape, resulting in a similar but not congruent figure. For example, if you dilate a triangle by a factor greater than 1 and then translate it, the resulting triangle will not be congruent to the original.
Can a reflection produce a congruent figure?
Yes
What three transformations have isometry?
The three transformations that have isometry are translations, rotations, and reflections. Each of these transformations preserves the distances between points, meaning the shape and size of the figure remain unchanged. As a result, the original figure and its image after the transformation are congruent.
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.
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.
What transformation is not a congruent image?
A transformation that is not a congruent image is a dilation. Unlike rigid transformations such as translations, rotations, and reflections that preserve shape and size, dilation changes the size of a figure while maintaining its shape. This means that the original figure and the dilated figure are similar, but not congruent, as their dimensions differ.
