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)?

Answer 1

The coordinates of B' after the translation described by the rule T(1,4) are (3, 9).

Step-by-step explanation:

To find the coordinates of B' after the translation, we need to apply the translation rule T(1,4) to the coordinates of point B(2,5).

Since the translation rule T(h,k) shifts the original point by adding the values of h and k to its x and y coordinates respectively, we can find the new coordinates by adding 1 to the x coordinate of B and adding 4 to the y coordinate of B.

Therefore, the coordinates of B' after the translation are (2+1, 5+4) = (3, 9).