How do you rotate triangle A",B",C" 270 degrees around the origin. coordinates A" (-1,1), B"(1,-2) and C"(0,-4)

9514 1404 393

  rotated vertices are (1, 1), (-2, -1), (-4, 0)

Step-by-step explanation:

When the rotation direction is not specified, it is usually taken to be counterclockwise. Rotation 270° CCW is the same as rotation 90° CW. The transformation of coordinates is ...

  (x, y) ⇒ (y, -x)

Then your rotated points become ...

  A(-1, 1) ⇒ A'(1, 1)

  B(1, -2) ⇒ B'(-2, -1)

  C(0, -4) ⇒ C'(-4, 0)

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In the attached, the rotated triangle is shown in red. As an example, the arc through which point C is rotated is shown.

Byou start by adding them all and setting them equal to 180 since that is half of the total degrees in a circle.(2x+8) + (3x-14) + (3x-14) = 1808x-20 = 1808x = 200x = 25

First subtract 10 from both side
y^2+6y-16=0
(y+8)(y-2)=0
-8 and 2