Question

Given that the coordinates of a triangle's vertices are (2,5). (4.7) and (6,8). If the triangle is translated using the rule (x, y) + (x + 3, y – 5), by how many units and in what direction was the preimage translated?

a. 5 units up and 3 units down
b. 5 units down and 3 units left
c. 3 units right and 5 units down
d. 3 units up and 5 units down​

Answer 1

The preimage was translated by 3 units to the right and 5 units down.

Step-by-step explanation:

To find the translation of the triangle, we need to apply the given translation rule to each vertex point of the triangle. Let's start with the first vertex point at (2,5). Applying the rule (x, y) + (x + 3, y – 5), we get (2 + 3, 5 - 5) = (5, 0).

Similarly, for the second vertex point at (4,7), applying the translation rule we get (4 + 3, 7 - 5) = (7, 2).

Finally, for the third vertex point at (6,8), applying the translation rule we get (6 + 3, 8 - 5) = (9, 3).

Therefore, the preimage was translated by 3 units to the right and 5 units down.