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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 is The original figure in a transformation?
It is the figure before any transformation was applied to it.
What type of transformation can change the size of an image from the original figure?
Dilation.
Does dilation always make a congruent figure?
No it makes the figure bigger or smaller than the original
One way to recognize a is to look for a line that divides the original image into two congruent parts?
Line of symmetry
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 is the resulting figure after a transformation?
The resulting figure after a transformation is the new shape or position of a geometric figure following operations such as translation, rotation, reflection, or dilation. This transformation alters the original figure's size, orientation, or position while maintaining its fundamental properties, such as angles and relative distances. For example, a triangle might be rotated 90 degrees, resulting in a triangle that is oriented differently but still congruent to the original.
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 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.
Which transformation will create an image that is not congruent to the original?
An enlargement but the angle sizes will remain the same.
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 type of tranformation does not result in a figure that is congruent to the original one?
An enlargement. In general, a non-linear transformation.
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'
Which sequence of transformation produces an image that is not congruent to the original figure?
A translation of 4 units to the right followed by a dilation of a factor of 2
What transformation will produce a figure that is similar but not congruent?
A transformation that produces a figure that is similar but not congruent is a dilation. Dilation involves resizing a figure by a scale factor, which increases or decreases the size while maintaining the same shape and proportional relationships of the sides and angles. As a result, the new figure will have the same shape as the original but will differ in size, making them similar but not congruent.
What is the rule that describes transformation?
The transformation rule states that a transformation is an operation that moves, flips, or changes the size or shape of a figure to create a new figure that is congruent to the original. This rule is used in geometry to describe how geometric figures can be altered while maintaining their essential properties.
What is it called when an original material is transformed into a new material?
That process is called transformation or transmutation where the original material undergoes a change in its chemical or physical composition resulting in a new material.
