Question

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.

Answer 1

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

Answer 2

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.