the following triangle ABC is rotated clockwise about the origin the new coordinates are A'(1,-2) B'(4,6) and C'(-2,3). Which of the following is measured of the angle of rotation?
Original Angles A(2,1) B(-6,4) C(-3,-2)


A. 45 degrees

B. 90 degrees

C. 180 degrees

D. 270 degrees

Respuesta :

B.90 because 90 degrees is above the original angel

The measured of the angle of rotation for the triangle ABC which is rotated clockwise about the origin is 90 degrees.

What do you mean by rotation of figure?

Rotation of a figure is the transformation of it about a point in either clockwise or anticlockwise direction. The rotation of a figure changes its coordinate point.

The triangle ABC is rotated clockwise about the origin.

  • The new coordinates are A'(1,-2) B'(4,6) and C'(-2,3).
  • The orginal coordinates are A(2,1) B(-6,4) C(-3,-2).

The rotation of the figure follow the rule as,

[tex]A(2,1)-- > A'(1,-2) \\B(-6,4)-- > B'(4,6)\\C(-3,-2)-- > C'(-2,3)[/tex]

This all the points follow the rule of 90 degree rotation, which is,

[tex](x,y)-- > (-y,x)[/tex]

Thus, the measured of the angle of rotation for the triangle ABC which is rotated clockwise about the origin is 90 degrees.

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