Question

Triangle ABC has vertices A(1,3), B(2,5), and C(5,3). What are the coordinates of B after the translation described by the rule T(1,4)?B =

Answer 1

B' (3, 9)

Step-by-step explanation:

Given the coordinates of vertices of a triangle A(1,3), B(2,5), and C(5,3), if the triangle is translated by T(1, 4), the coordinates of the new triangle will be expressed as:

A' = (1, 4) + A(1, 3)

A' = (1+1, 4+3)

A' = (2, 7)

B' = (1, 4) + B(2, 5)

B' = (1+2, 4+5)

B' = (3, 9)

C' = (1, 4) + C(5, 3)

C' = (1+5, 4+3)

C' = (6, 7)

From the calculation above, it can be seen that the coordinates of B after translation is B' (3, 9)