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QUESTION IMAGE

complete the statement. the sequence of transformations maps figure abc…

Question

complete the statement. the sequence of transformations maps figure abcd onto its image, so abcd is? to abcd.

Explanation:

Step1: Analyze the first - step transformation

The rectangle \(ABCD\) is first translated to \(A'B'C'D'\). We can observe that \(ABCD\) is shifted to the left.

Step2: Analyze the second - step transformation

Then \(A'B'C'D'\) is reflected over the \(x\) - axis to get \(A''B''C''D''\). Since a sequence of rigid motions (translation and reflection) is used, the figure \(ABCD\) is congruent to \(A''B''C''D''\).

Answer:

congruent