△EFG

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

∠E≅∠X

(explain why this is correct in 3 sentences

1 answer

When triangle △EFG is rotated −90 degrees (clockwise), the vertices of the triangle will change positions but the angle measures will remain the same. Since rotation is a rigid transformation, it preserves all angle measures and side lengths. Therefore, ∠E in triangle △EFG will be congruent to ∠X in triangle △XYZ because they represent the same angle, just repositioned in the new orientation of the triangle.