The total number of degrees which has the triangle ABC been rotated counterclockwise about the origin is 90 degrees.
What is rotation of figure?
Rotation of a figure is the transformation of it about a point in either clockwise or counterclockwise direction. The rotation of a figure changes its coordinate point.
The triangle ABC has been rotated about the origin. The result of this the new triangle A'B'C' is formed. Here, in the graph,
- The vertex B' points in the right direction,
- The vertex of B of original figure is points upside.
- The coordinate points of B is (5,8).
- The coordinate points of B' is (-8,5).
Thus the change in coordinate point after the rotation is,
[tex](5,8)-- > (-8,5)\\(x,y)-- > =(-y,x)[/tex]
This is the rotation rule of 90 degree counterclockwise.
Thus, the total number of degrees which has the triangle ABC been rotated counterclockwise about the origin is 90 degrees.
Learn more about the rotation of figure here;
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