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?


(pic in replies)


∠Z ≅ ∠A
∠B ≅ ∠Y
∠A ≅ ∠X
∠C ≅ ∠Z

Answer 1

I think its d

Answer 2

@dontsaymyname

Answer 3

A rotation of 90° clockwise is the same rotation 270° counter-clockwise, so the rule for the transformation is (x, y) → (y, -x) so you compare the two triangles
BAC and XYZ,and you have tot keep the order of the letters :
B: was transformed to X, so the coordinates of X are those that Bis '': (0,8).
A: was transformed to Y, so the coordinates of Y are those that A'': (8, 8)
C: was transformed to Z, so the coordinates of Z are those that' C is': (6,2).

so the roatation is rigid transformatio, because lengths are not preserved,so the angles are preserved.

so anyways the corresponding angles were preserved:

∠ B ≅ ∠ X
∠ A ≅ ∠ Y
∠ C ≅ ∠ Z


so tfrom the choices, the only true statement is ∠A ≅ ∠Y.

Answer 4

@Kyky232

Answer 5

\(\color{#0cbb34}{\text{Originally Posted by}}\) @LimitedEditionShawty
A rotation of 90° clockwise is the same rotation 270° counter-clockwise, so the rule for the transformation is (x, y) → (y, -x) so you compare the two triangles
BAC and XYZ,and you have tot keep the order of the letters :
B: was transformed to X, so the coordinates of X are those that Bis '': (0,8).
A: was transformed to Y, so the coordinates of Y are those that A'': (8, 8)
C: was transformed to Z, so the coordinates of Z are those that' C is': (6,2).

so the roatation is rigid transformatio, because lengths are not preserved,so the angles are preserved.

so anyways the corresponding angles were preserved:

∠ B ≅ ∠ X
∠ A ≅ ∠ Y
∠ C ≅ ∠ Z


so tfrom the choices, the only true statement is ∠A ≅ ∠Y.
\(\color{#0cbb34}{\text{End of Quote}}\)
Pal... there is no ∠A ≅ ∠Y.