College

A translation maps triangle ABC onto triangle DEF. Given the coordinates A(4,3), B(3,0), D(13,9), and F(2,5), find the coordinates of point C and point E.

Answer :

Answer:

In a translation, every point in the figure moves in the same direction by the same amount. To find points C and E, calculate the translation and apply it to the points. We find that C is (-7,-1) and E is (12,6).

Step-by-step explanation:

To find out exactly what the translation was, calculate the difference between coresponding points A and D. To move from point A to point D, we add 9 to the x-value and 6 to the y-value.

To find point E, apply this same translation to point B. (3,0) + (9,6) gives us (12,6) for point E.

Since point C is in the original triangle, we have to start at point F and work backwards. Subtracting 9 from F's x-value and 6 from its y-value gives us (-7,-1) for point C.