if a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'? (–5, –2) (1, –12) (4, –15) (–9, –6)

The coordinates of D are (1,-12) .

Step-by-step explanation:

Given : Translation rule : (x, y) → (x + 6, y – 10)  is applied to figure ABCD.

From the figure below, we have figure ABCD in which

The coordinates of D = (-5,-2)

According to the given translation rule :

D(-5,-2) → D'(-5 + 6, -2 – 10)    (coordinates of image point D')

i.e. D(-5,-2) → D'(1, -12)    [-5+6 = 1, -2-10 = -12]

Hence, the coordinates of D are (1,-12) .

answer:

The exterior angle theorem states that the exterior angle formed when you extend the side of a triangle is equal to the sum of its non-adjacent angles. The theorem tells us that the measure of angle D is equal to the sum of angles A and B.

Step-by-step explanation: