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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 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 will result in a similar figure?
An enlargement transformation will give the result of a similar shape.
Which type of transfoemation does not necessarily result in the image being congruent to the preimage?
An enlargement transformation
What shape is made out of two congruent triangles?
If you have 2 EQUILATERAL triangles, and you stack them on their respective hypotenuses, the result: SQUARE. If you have 2 ISOSCELES triangles, and you stack them on their respective hypotenuses, the result: RECTANGLE. If you have 2 OBTUSE triangles, and you stack them on their respective hypotenuses, the result: PARALLELOGRAM.
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 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 transformation does not result in a congruent figure?
A transformation that does not result in 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. Unlike congruence, where figures remain identical in size and shape, dilation alters dimensions, making the figures proportional but different in scale.
Why under transformation a figure is always congruent to its image?
A figure is always congruent to its image under transformation because congruence means that the two figures have the same shape and size. Transformations such as translations, rotations, and reflections preserve the lengths of sides and the measures of angles, ensuring that the original figure and its image maintain their geometric properties. Therefore, any transformation applied will result in an image that is congruent to the original figure.
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 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.
When a shape is reflected is the reflected shape congruent to the original shape?
Yes, when a shape is reflected, the reflected shape is congruent to the original shape. Reflection is a type of rigid transformation that preserves the size and shape of the figure, meaning all corresponding sides and angles remain equal. As a result, the reflected shape is an exact mirror image of the original, maintaining congruence.
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 term describes a transformation that does not change a figure's size or shape?
The term that describes a transformation that does not change a figure's size or shape is "isometry." Isometric transformations include translations, rotations, and reflections, which maintain the original dimensions and angles of the figure. As a result, the pre-image and image of the transformation are congruent.
What transformation will result in a similar figure?
An enlargement transformation will give the result of a similar shape.
Why is it helpful to know the number of congruent faces in a figure when you're finding surface area?
You need calculate the area of only one face and multiply the result by the number of congruent faces.
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.
