Question

2. A translation maps A(1, 2) onto A'(-1, 3). What are the coordinates of the image of the origin under the same
translation?
A. (-1,2)
B. (2, -1)
c.(-2, 1)
D. (0,0)

Answer 1

Answer:

Option C.(-2, 1)

Step-by-step explanation:

we know that

A translation maps A(1, 2) onto A'(-1, 3)

so

A(1, 2) -----> A'(-1, 3)

The rule of the translation is

(x,y) -----> (x+a,y+b)

(1,2) -----> (1+a,2+b)

Find the value of a

1+a=-1 ----> a=-2

Find the value of b

2+b=3 ----> b=1

substitute the values of a and b

(x,y) -----> (x-2,y+1)

Apply the rule of the translation to the origin

(0,0) -----> (0-2,0+1)

(0,0) -----> (-2,1)