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.
△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