Question

Vertices upper C and upper D are not labeled with the coordinates.

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

Answer 1

I don’t have the original diagram or the original coordinates of A and B, so I can’t give a numeric answer yet. To find B′ you need either the translation vector or the original coordinates of A and B.

Method:
- If original A = (xA, yA) and A′ = (−6, 8), the translation vector is v = A′ − A = (−6 − xA, 8 − yA).
- Then B′ = B + v. If original B = (xB, yB) then
B′ = (xB + (−6 − xA), yB + (8 − yA)).

If you give me the original coordinates of A and B (or the translation vector), I’ll compute B′ for you.