Question

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 1

(-x,-y) and 180

Step-by-step explanation:

did it and got it correct

Answer 2

Rotating 180 degrees about the origin

Step-by-step explanation:

Given

`A = (-1,-2); B = (-4,-2); C = (-1,-4)`

`A' = (1,2); B' = (4,2); C' = (1,4)`

Required

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

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

`A = (-1,-2) \to A' = (1,2)`

Rewrite as [double negation]:

`A = (-1,-2) \to A' = (-(-1),-(-2))`

Replace the coordinates with x and y

`i.e.\ x = -1; y = -2`

`A = (x,y) \to A' = (-x,-y)`

The rotation rule that describes the above parameter is:

Rotating 180 degrees about the origin