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What is the transformation called if it preserves the shape and size of an object?
The transformation that preserves the shape and size of an object is called a "rigid transformation" or "isometry." This type of transformation includes translations, rotations, and reflections, ensuring that distances and angles remain unchanged. Consequently, the object's overall geometry remains intact throughout the transformation process.
What transformations preserves the measures of the angles but changes the lengths of the sides of the figure?
The transformations that preserve the measures of the angles but change the lengths of the sides of a figure are known as similarity transformations. These include dilation, where a figure is enlarged or reduced proportionally, and certain types of non-rigid transformations. Unlike rigid transformations (like translations, rotations, and reflections), which maintain both angle measures and side lengths, similarity transformations allow for changes in size while keeping the shape intact.
What doesn't describe a rigid motion transformation?
A rigid motion transformation is one that preserves distances and angles between points in a geometric shape. Anything that involves changing the size or shape of the object, such as scaling or shearing, would not describe a rigid motion transformation.
WHICH OF THE FOLLWING IS NOT A CONGRUENCE TRANSFORMATION?
A congruence transformation, or isometry, is a transformation that preserves distances and angles, such as translations, rotations, and reflections. Among common transformations, dilation (scaling) is not a congruence transformation because it alters the size of the figure, thus changing the distances between points. Therefore, dilation is the correct answer to your question.
What property changes when a figure is reflected?
When a figure is reflected, its orientation changes, meaning that the figure appears as a mirror image across the line of reflection. While the shape and size of the figure remain unchanged, the relative positions of points in the figure are reversed. This transformation preserves distances and angles, maintaining congruence with the original figure.
Which property changes when a figure is reflected across a line?
When a figure is reflected across a line, its orientation changes, meaning that the figure appears as a mirror image relative to the line of reflection. However, the size, shape, and distances between points in the figure remain unchanged. This transformation preserves congruence, maintaining all angles and lengths.
What is the transformation in which the preimage and it image are congruent?
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.
What describes a rigid motion transformation?
A rigid motion transformation is a type of transformation that preserves the shape and size of geometric figures. This means that distances between points and angles remain unchanged during the transformation. Common examples include translations, rotations, and reflections. Essentially, a rigid motion maintains the congruence of the original figure with its image after the transformation.
When the preimage and image are congruent the transformation is called an isometry true or false?
True. An isometry is a transformation that preserves distances and angles, meaning that the preimage and image are congruent. Examples of isometries include translations, rotations, and reflections, all of which maintain the shape and size of geometric figures.
What map preserves shape and what map preserves size?
A conformal map preserves shape, meaning angles are maintained. A equal-area map preserves size, meaning areas are accurately represented.
What does a protractor measure?
A protractor measures the degree of angles and circles.
Two angles whose measures total 180 are called what?
Supplementary angles are 2 angles whose measures = 180o.
