Question

△EFG
△
𝐸
𝐹
𝐺
is rotated −90
−
90
degrees (clockwise) to create △XYZ
△
𝑋
𝑌
𝑍

. Which of the following statements must be true?(1 point)
Responses

EG¯¯¯¯¯¯¯¯≅XY¯¯¯¯¯¯¯¯
𝐸
𝐺
¯
≅
𝑋
𝑌
¯
Modifying above upper E upper G with bar congruent to Modifying above upper X upper Y with bar

∠F≅∠Z
∠
𝐹
≅
∠
𝑍

angle upper F congruent to angle upper Z

EF¯¯¯¯¯¯¯¯≅XZ¯¯¯¯¯¯¯¯
𝐸
𝐹
¯
≅
𝑋
𝑍
¯
Modifying above upper E upper F with bar congruent to Modifying above upper X upper Z with bar

∠E≅∠X

Answer 1

Rotation is a rigid motion, so corresponding vertices match in order: E → X, F → Y, G → Z. Therefore corresponding sides/angles are:

- EF ≅ XY, FG ≅ YZ, EG ≅ XZ
- ∠E ≅ ∠X, ∠F ≅ ∠Y, ∠G ≅ ∠Z

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