Question

After applying a translation vector to rectangle
, the coordinates of
are
. What arethe coordinates of
?
(1 point)
ABDC A′ (−6, 8)
B′

Answer 1

I’m missing some information — either the original coordinates of A and B or the translation vector. Please tell me the coordinates of the original points (A and B) or the translation vector.

How to find B′ once you have that info:
- If original A = (xA, yA) and A′ = (−6, 8), the translation vector is (h, k) = A′ − A = (−6 − xA, 8 − yA).
- Then B′ = B + (h, k) = (xB + h, yB + k) = (xB − xA − 6, yB − yA + 8) (or more simply (xB + h, yB + k)).

Example: if A = (−10, 5) and B = (2, 1)
- translation vector = (−6 − (−10), 8 − 5) = (4, 3)
- B′ = (2+4, 1+3) = (6, 4)

Give me the original coordinates and I’ll compute B′ exactly.