When triangle \( \triangle EFG \) is rotated -90 degrees (clockwise), the orientations of the sides and angles change, but the lengths of sides and the measures of angles remain invariant. Let's analyze the provided options in light of this transformation:
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A. EF ≌ XZ: This is true because corresponding sides of congruent triangles remain equal in length, regardless of how the triangle is oriented. \( EF \) corresponds to \( XZ\) after the rotation.
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B. ∠F ≌ ∠Z: This is also true since the angles corresponding to one another in the original triangle and the rotated triangle remain equal.
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C. ∠E ≌ ∠X: This is true as well; angle \( E \) in triangle \( EFG \) corresponds to angle \( X \) in triangle \( XYZ \) after the rotation.
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D. EG ≌ XY: This statement is also true, as both segments correspond to each other after rotation.
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In conclusion, all statements A, B, C, and D must be true for triangle \( \triangle XYZ \) resulting from the clockwise rotation of triangle \( \triangle EFG \).
So, the correct answer is that all statements must be true:
- A. True
- B. True
- C. True
- D. True
Thus, the answer includes A, B, C, and D, as all statements are valid.