When triangle EFG is rotated -90 degrees clockwise to create triangle XYZ, both triangles are congruent. This means that their corresponding sides and angles are congruent after the rotation.
To analyze the statements:
A. EF ≌ XZ - This is true, as EF is a side of triangle EFG and corresponds to side XZ in triangle XYZ.
B. ∠F ≌ ∠Z - This is true as well; the angle F in triangle EFG corresponds to angle Z in triangle XYZ after the rotation.
C. ∠E ≌ ∠X - This is true; angle E in triangle EFG corresponds to angle X in triangle XYZ after the rotation.
D. EG ≌ XY - This is also true; side EG in triangle EFG corresponds to side XY in triangle XYZ after the rotation.
Since all of the given statements must be true based on the congruence of the triangles, the correct conclusion is that all four statements (A, B, C, D) must be true.
1 answer