Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true?

Question

Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true?

coordinate plane with triangles ACB and XYZ with A at negative 4 comma 4, C at negative 1 comma 3, B at negative 4 comma 0, X at 0 comma 8, Y at 8, comma 8, and Z at 6 comma 2

∠Z ≅ ∠A
∠B ≅ ∠Y
∠A ≅ ∠X
∠C ≅ ∠Z

Answer 1

∠A ≅ ∠X

This is true because triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 to create triangle XYZ. This means that angle A in triangle BAC corresponds to angle X in triangle XYZ, as they are the same angle that has been rotated and dilated.