In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 and C, 2− 5 are translated to B′ and C′, respectively. What are the coordinates of B′ and C′?

The coordinates of B' and C' are and , respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

(1)

Where:

- Original point, dimensionless.

- Translation vector, dimensionless.

- Translated point, dimensionless.

If we know that and , then the translation vector is:

(2)

If we know that , and , then the translated points are, respectively:

(3)

The coordinates of B' and C' are and , respectively.