Question

ABC has coordinates A(2, 3), B(4, – 2), and C(3, 0). After a translation the coordinates of A′ are (6, – 2). What are the coordinates of B′? *

Answer 1

Translation.

The correct answer is (8, -7

The coordinate A(2,3) becomes A'(6, -2) after it was translated.

The difference between these two coordinates is obtained by:

`\begin{gathered} x_2-x_1=6-2=4 \\ y_2-y_1=-2-3=-5 \end{gathered}`

The coordinate of B after translation is:

`B(4+4,-2+\text{ -5) = B(8,-7)}`

Hence, the correct answer is B'(8,-7)