Responses
a reflection
a reflection
a dilation
a dilation
a rotation
a rotation
a translation
5 answers
If you apply the geometric description of reflections across parallel lines, the transformation that will be part of a composition transformation is a translation.
When you reflect a point across two parallel lines, the result is equivalent to translating the point along the direction perpendicular to the lines by a distance equal to twice the distance from the point to the nearest line.
The transformation that would result in the same image as a composition transformation of reflections across intersecting lines is a rotation.
When you reflect an object across two intersecting lines, the overall effect is equivalent to rotating the object around the point of intersection of the lines by an angle that is twice the angle between the two lines.
The transformation that would result in the same image as a composition transformation of reflections across the x-axis and then the y-axis is a 180-degree rotation.
Reflecting across the x-axis and then the y-axis effectively rotates the image 180 degrees about the origin.
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