If a translation of T2, -7(x, y) is applied to ΔABC, what are the coordinates of B'?

Solution:

Using a defined translation rule, the point P (x, y) undergoes a translation to form P’

If given the rule T (a, b) synch that P undergoes translation based on T then we have P’ (x+a; y+b)

So the point B has coordinates (1, -5)

Using the translation rule T (2, -7), after undergoing translation the coordinates of B becomes T2

B (1, -5) and T (2, -7)

So we get

B’(1 + 2; -5 + (-7)) = B’ (3, -12)

Therefore, the coordinates of B’ are 3 and -12.

If a translation of T2, -7(x, y) is applied to ΔABC, what are the coordinates of B'?

Summary:

If a translation of T2, -7(x, y) is applied to ΔABC, the coordinates of B’ are 3 and -12.