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Which transformations will produce a congruent figure?
A translation, a reflection and a rotation
Which of the following transformation will always produce a congruent figure?
The identity transformation.
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.
Are adjacent sides of a rhombus always congruent?
Yes, it is one of the ways to prove a figure is a rhombus. If adjacent sides are congruent, then the figure is a rhombus.
What transformation will result in a similar figure?
An enlargement transformation will give the result of a similar shape.
Which of the transformations will produce a similar but not congruent figure?
A dilation would produce a similar figure.
Which transformations will produce a congruent figure?
A translation, a reflection and a rotation
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 of the following transformation will always produce a congruent figure?
The identity transformation.
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.
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.
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 transformation always produce a congruent figure?
Reflections, translations, rotations.
Why under transformation a figure is always congruent to its image?
A figure is always congruent to its image under transformation because congruence means that the two figures have the same shape and size. Transformations such as translations, rotations, and reflections preserve the lengths of sides and the measures of angles, ensuring that the original figure and its image maintain their geometric properties. Therefore, any transformation applied will result in an image that is congruent to the original figure.
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
