What are the coordinates of point B' if the translation vector (7, -5) is applied to triangle ABC below to produce new triangle A'B'C'?

(1 point)
Responses

B′ (−3,0)
B′ (−3,0)

B′ (3,4)
B′ (3,4)

B′ (−1,2)
B′ (−1,2)

B′ (5,−2)
B′ (5,−2)

1 answer

To find the coordinates of point B' after applying the translation vector (7, -5) to triangle ABC, we add this vector to the coordinates of point B.

Point B coordinates: B(2, 5)
Translation vector: (7, -5)

Adding the translation vector (7, -5) to point B coordinates (2, 5):
B'(2+7, 5-5) = B'(9, 0)

Therefore, the coordinates of point B' are B' (9, 0).