which transformation would result in the same image as a composition transformation of reflection across the X axis, and the Y axis A.) dilation B.) a reflection C.) 100° rotation, or D.) and 90° rotation
The composition transformation of reflection across the X axis and the Y axis would result in the same image as a 180° rotation, which is equivalent to a reflection. Thus, the correct answer is B.) a reflection.
A composition transformation of reflection across the X axis and the Y axis is equivalent to a 180° rotation. Therefore, the transformation that would result in the same image is a 180° rotation, which is option D).
To determine which transformation would result in the same image as a composition of reflection across the X-axis and the Y-axis, we need to understand the effects of each option and how it combines with the given transformations.
A) Dilation: A dilation is a transformation that changes the size of an object. Since it only affects the size, it does not result in the same image as the given composition of transformations.
B) Reflection: A reflection is a transformation that flips an object across a line. Since each reflection is happening across a different line (X-axis and Y-axis), performing another reflection would result in a different image.
C) 100° Rotation: A 100° rotation would change the orientation of the object, which is different from the given composition of transformations.
D) 90° Rotation: A 90° rotation is a transformation that rotates an object 90 degrees counterclockwise or clockwise. Since a composition of reflection across the X-axis and the Y-axis is equivalent to a 180° rotation, a 90° rotation would not result in the same image.
Therefore, the correct answer is none of the above. There is no transformation option (A, B, C, or D) that would result in the same image as a composition of reflection across the X-axis and the Y-axis.