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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.
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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 transformation that reduces or enlarges a figure?
congruent figure
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
Are congruent figure similar?
Yes, congruent figures have to be similar
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 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 transformation will result in a similar figure?
An enlargement transformation will give the result of a similar shape.
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 transformation that reduces or enlarges a figure?
congruent figure
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'
What is the difference between a similar figure and a congruent figure?
A similar figure has the same interior angles as a congruent figure but its sides are in proportion to a congruent figure.
Which of the following transformation will always produce a congruent figure?
The identity transformation.
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
Are congruent figure similar?
Yes, congruent figures have to be similar
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.
Are corresponding angles of similar figure always congruent?
Yes, they are.
Is a figure with a scale factor of 1 congruent or similar?
Congruent.
