AABC is rotated 90° clockwise about the origin. 18 16 14 12 C(6, 12) 10 8 6 4 2 B(18, 6) A(12, 0) 246 8 10 12 14 16 18 What are the coordinates of A'? A. (0,-12) B. (12, 0) C. (0, 12) O D. (-12, 0)


HELP PLSSS​

AABC is rotated 90 clockwise about the origin 18 16 14 12 C6 12 10 8 6 4 2 B18 6 A12 0 246 8 10 12 14 16 18 What are the coordinates of A A 012 B 12 0 C 0 12 O class=

Respuesta :

Answer:

A.  (0, -12)

Step-by-step explanation:

If a point is rotated 90° clockwise about the origin, its new coordinates can be found by swapping its x and y coordinates and then negating the new y-coordinate:

[tex]\Large\boxed{(x,y)\rightarrow (y,-x)}[/tex]

Therefore, if the coordinates of point A are (12, 0), then the coordinates of point A' after a clockwise rotation of 90° about the origin are:

[tex]\Large\boxed{\boxed{A'=(0,-12)}}[/tex]

Ver imagen semsee45
Q&A Education