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

Answer:

Rotating 180 degrees about the origin

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