On a coordinate plane, 2 triangles are shown. The first triangle has points A (negative 1, negative 2), B (negative 4, negative 2), C (negative 1, negative 4). The second triangle has points A prime (1, 2), B prime (4, 2), C prime (1, 4). What rule describes the rotation about the origin? (x, y) → How many degrees was the figure rotated about the origin? °

Answer:

Rotating 180 degrees about the origin

Explanation:

Given

[tex]A = (-1,-2); B = (-4,-2); C = (-1,-4)[/tex]

[tex]A' = (1,2); B' = (4,2); C' = (1,4)[/tex]

Required

The rotation rule from ABC to A'B'C'

Using points A and A' as reference, we have:

[tex]A = (-1,-2) \to A' = (1,2)[/tex]

Rewrite as [double negation]:

[tex]A = (-1,-2) \to A' = (-(-1),-(-2))[/tex]

Replace the coordinates with x and y

[tex]i.e.\ x = -1; y = -2[/tex]

[tex]A = (x,y) \to A' = (-x,-y)[/tex]

The rotation rule that describes the above parameter is:

Rotating 180 degrees about the origin

Answer:

(-x,-y) and 180

Explanation:

did it and got it correct

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