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Is rotation always creates a congruent image to the original figure?
Figures are congruent if and only if they are related by a translation, reflection, or rotation, or some combination of these transformations.
What is the length of image if the scale factor is 8 and the length of figure is 10yds?
Length of image = Length of original*Scale factor = 10*8 = 80 yards.
Can a reflection image of an angle have a mesure that is different from the measure of the original angle?
No, a figure and its reflection image are congruent. It is like our reflections in a mirror. Hope I answered your question!
How do you tell if a figure is a translation of another?
The original figure and its image must be of the same size and the same orientation. That is, you should be able to get from the original to the image by moving the shape along the x-axis and the y-axis and nothing else. However, if the shape has rotational or reflective symmetry, there is no way that you can be sure that it has not been rotated or reflects (as appropriate).
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
What is a transformation that creates a mirror image of the original image?
A transformation that creates a mirror image of the original image is called a reflection. This transformation flips the image across a line called the axis of reflection, creating a mirror image that is a flipped version of the original.
When you change coordinates of points of a figure to get another figure the original figure is called what?
The original figure is called the pre-image. After the transformation it becomes the image.
Is rotation always creates a congruent image to the original figure?
Figures are congruent if and only if they are related by a translation, reflection, or rotation, or some combination of these transformations.
The original figure in a transformation?
What is a preimage. (The new figure is called the image.)
What is definition of image in math?
The figure that results from some transformation of a figure. It is often of interest to consider what is the same and what is different about a figure and its image EX: original Image
A mapping for which the original figure and its image are congruent?
Isometry
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 math term means copy of an original figure?
Image
What type of transformation can change the size of an image from the original figure?
Dilation.
What is the scale factor from an original figure to its image if the image is made using the given method?
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What is linear symmetry?
A figure has linear symmetry when after reflection, the image looks exactly the same as the original
How can you use reflection to rotate a shape?
To rotate a shape using reflection, you would typically mirror the shape across a line (such as the x-axis, y-axis, or a custom line). The reflection operation then creates the rotated shape as a mirror image of the original shape.
