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

A. ∠B ≅ ∠X
B. ∠A ≅ ∠Z
C. ∠C ≅ ∠X
D. ∠Y ≅ ∠B

Option D.

Step-by-step explanation:

Transformations like Rotation, Translation, Reflection and Dilation are the types of rigid transformations.

And in rigid transformation shape and size of the figure remains the same.

Therefore, rotation of triangle ABC by 90° clockwise and dilation by a scale factor of 2 about the origin are the types of rigid transformation making no change in angles of ΔABC.

∠A ≅ ∠X

∠B ≅ ∠Y

∠C ≅ ∠Z

Option (D) will be the correct options.

A. <B = <X

Step-by-step explanation:

Its because when you rotate something by 90 degrees clockwise you rotate it to the right. so if you rotate it to the right you will get the same as XYZ and now you just need to see which matches the angles. B. cannot be because if we use the rotation of 90 degrees then angle A would be congruent to angle Y. C. cannot be because using the 90 degrees rotation angle C would be congruent to angle Z. D. cannot be because using the 90 degrees rotation angle Y would be congruent to angle A. So that leaves us with answer A.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a