Question

△EFG is rotated −90 degrees (clockwise) to create △XYZ .
Which of the following statements must be true?
(1 point)
Responses

EF¯¯¯¯¯¯¯¯ ≅ XZ¯¯¯¯¯¯¯¯
EF¯¯¯¯¯¯¯¯ ≅ XZ¯¯¯¯¯¯¯¯

∠E ≅ ∠X
∠E ≅ ∠X

EG¯¯¯¯¯¯¯¯ ≅ XY¯¯¯¯¯¯¯¯
EG¯¯¯¯¯¯¯¯ ≅ XY¯¯¯¯¯¯¯¯

∠F ≅ ∠Z
∠F ≅ ∠Z

Answer 1

When △EFG is rotated to create △XYZ, the corresponding vertices are E→X, F→Y, G→Z. A rotation preserves lengths and angle measures, so corresponding parts match:

- EF ≅ XY (not XZ)
- EG ≅ XZ (not XY)
- ∠E ≅ ∠X
- ∠F ≅ ∠Y (not ∠Z)

From the choices given, only ∠E ≅ ∠X must be true.