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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.
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!
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.
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
