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 =
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Answer:
B' (3, 9)
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)