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rotate the triangle 90 degree Counterclockwise around the origin. Find the coordinates of point C in the image after rotation.

rotate the triangle 90 degree Counterclockwise around the origin Find the coordinates of point C in the image after rotation class=

Respuesta :

Answer:

Option (6)

Step-by-step explanation:

Coordinates of the vertices are,

A(1, 1), B(1, 4) and C(3, 1)

Rule for the rotation of a point by 90° counterclockwise about the origin is,

(x, y) → (-y, x)

Therefore, after the transformation the new vertices of the triangle will be,

A(1, 1) → A'(-1, 1)

B(1, 4) → B'(-4, 1)

C(3, 1) → C'(-1, 3)

Therefore, after rotation coordinates of point C will be,

C'(-1, 3)

Option (6) will be the correct option.

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