Question

Triangle abc was translated according to the rule t4. 5, –6. 2(x, y) to form a’b’c’ as shown. What are the coordinates of point c of the pre-image? (3. 5, –9. 2) (–2. 7, –4. 7) (–5. 5, 3. 2) (0. 7, –1. 3).

Answer 1

The coordinates of point C of the pre-image are (-1, -3).

Step-by-step explanation:

The coordinates of point C of the pre-image can be found by applying the translation rule t₂.₅, −₆.₂ to the coordinates of point C'. Let's calculate:

x-coordinate of C = x-coordinate of C' + 4.5 = −5.5 + 4.5 = −1

y-coordinate of C = y-coordinate of C' + (−6.2) = 3.2 + (−6.2) = −3

Therefore, the coordinates of point C of the pre-image are (−1, −3).