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QUESTION IMAGE

determine the final result when δabc is reflected in line l and then it…

Question

determine the final result when δabc is reflected in line l and then its image is reflected again in l. choose the graph below that shows the final reflection. a. b. c. d.

Explanation:

Step1: Understand the property of reflection

When a figure is reflected over a line \(L\) and then its image is reflected again over the same line \(L\), the composition of two reflections over the same line is equivalent to the identity transformation. That is, the final image is the same as the original figure.

Answer:

Assuming the original \(\triangle ABC\) (not shown in options A - D in a wrong - placed way in the problem description) has the same position as one of the options (if we assume the original \(\triangle ABC\) is in the position similar to option D in terms of orientation and location relative to the line \(L\) after two reflections over \(L\)), the answer is D.