Atriangle with the coordinates (6,4), (2,-1), and (-3,5) is translated 4 units left and rotate 180 degrees about the origin. what are the coordinates of the image.

(-2,-4),(2,1), and (7,-5)

Step-by-step explanation:

The given triangle has coordinates (6,4), (2,-1), and (-3,5).

When we translate 4 units left, the we obtain:

(6,4)>(6-4,4)=(2,4)

(2,-1)>(2-4,-1)=(-2,-1)

(-3,5)>(-3-4,5)=(-7,5)

When the resulting figure is rotated 180° about the origin, the coordinates of the final figure becomes

(2,4)>(-2,-4)

(-2,-1)>(2,1)

(-7,5)>(7,-5)

NB: The mapping for 180° rotation is:

(x,y)>(-x,-y)

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step-by-step explanation: