Question

Which best represents the transformation for the coordinates of the vertices of the given pairs of triangles?

(1, 6), (−1, 3), (5, −2) and

(−1, 6), (−3, 3), (3, −2)

Answer 1

We have a translation of 2 units to the left.

Which transformation was applied?

We can see that the original vertices are (1, 6), (−1, 3), (5, −2) and the transformed vertices are (−1, 6), (−3, 3), (3, −2)

Taking the difference between correspondent points we will get:

(-1, 6) - (1, 6) = (-2, 0)

(-3, 3)- (-1, 3) = (-2, 0)

(3, -2) - (5, -2) = (-2, 0)

So we can see that we have a translation of -2 units in the x-value, this is a translation of 2 units to the left.