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Translation, rotation, reflection.

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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 transformations will produce a congruent figure?

A translation, a reflection and a rotation


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 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.


How can transformations show that angles are congruent?

Transformations, such as translations, rotations, and reflections, can demonstrate that angles are congruent by showing that one angle can be mapped onto another without altering its size or shape. For instance, if two angles can be aligned perfectly through a series of transformations, they are considered congruent. This property is fundamental in geometry, as it confirms that congruent angles maintain equal measures, regardless of their position in space. Thus, transformations visually and mathematically establish the congruence of angles.


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 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.


What property of rigid transformations is exclusive to translations?

The property of rigid transformations that is exclusive to translations is that they maintain the direction and distance of points in a shape without altering their orientation. In a translation, every point of the shape moves the same distance in the same direction, resulting in a congruent shape that retains its original orientation. This contrasts with other rigid transformations, such as rotations and reflections, which can change the orientation of the shape.


Which transformation or sequence of transformations can be used to show congruency?

To show congruency between two shapes, you can use a sequence of rigid transformations such as translations, reflections, rotations, or combinations of these transformations. By mapping one shape onto the other through these transformations, you can demonstrate that the corresponding sides and angles of the two shapes are congruent.


What transformation will result in a similar figure?

An enlargement transformation will give the result of a similar shape.


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.