A transformation that produces a figure that is similar but not congruent is a dilation. In a dilation, a figure is resized proportionally from a center point, resulting in a shape that maintains the same angles but alters side lengths. This means that while the two figures have the same shape, they differ in size, making them similar but not congruent.
congruent figure
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.
A translation of 4 units to the right followed by a dilation of a factor of 2
The transformation in which the preimage and its image are congruent is called a rigid transformation or isometry. This type of transformation preserves distances and angles, meaning that the shape and size of the figure remain unchanged. Common examples include translations, rotations, and reflections. As a result, the original figure and its transformed version are congruent.
congruent figure
The identity transformation.
A translation of 4 units to the right followed by a dilation of a factor of 2
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.
Reflections, translations, rotations.
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
An enlargement. In general, a non-linear transformation.
The transformation process is an 'enlargement'
An enlargement transformation will give the result of a similar shape.
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.
A. Rotation
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.