Triangle ABC is transformed to form triangle A'B'C' .

A is at (2, 4) , B is at (3, 9) and C is at (4, 1) .

Which transformation of ​ △ABC ​ results in​ ​ △A'B'C' ​​? Drag and drop the the correct answers into the each box to complete the sentence.

Triangle ABC is transformed to form triangle ABC A is at 2 4 B is at 3 9 and C is at 4 1 Which transformation of ABC results in ABC Drag and drop the the correc class=
Triangle ABC is transformed to form triangle ABC A is at 2 4 B is at 3 9 and C is at 4 1 Which transformation of ABC results in ABC Drag and drop the the correc class=

Respuesta :

ABC is rotated counterclockwise 270 degrees about the origin! hope this helps, it's 100% correct, just took the test
frika

Triangle ABC has vertices at points:

A is at (2, 4) , B is at (3, 9) and C is at (4, 1).

A rotation by 90° clockwise (or 270° anti-clockwise) about the origin has a rule:

(x,y)→(y,-x).

Applying this rules to the pointa A, B and C, you get points:

  • A(2,4)→A'(4,-2);
  • B(3,9)→B'(9,-3);
  • C(4,1)→C'(1,-4).

These points are exactly the same as in the figure, thus,

correct choice - rotation by 90° clockwise (or 270° anti-clockwise) about the origin.