Question

Describe the translation of figure ABCD. Complete the sentence to explain your answer.A coordinate plane showing figure A B C D and A prime B prime C prime D prime. The coordinates of the first figure are A 2 comma 3, B 1 comma 2, C 2 comma 1, and D 3 comma 2. The coordinates of the second figure are A prime 5 comma 4, B prime 4 comma 3, C prime 5 comma 2, and D prime 6 comma 3.Figure ABCD is translated unit(s) right and unit(s) up.

Answer 1

Translation

We are given two figures ABCD and A'B'C'D' with coordinates:

A(2, 3) B(1, 2) C(2, 1) D(3, 2)

A'(5, 4) B'(4, 3) C'(5, 2) D'(6, 3)

Figure ABCD maps to A'B'C'D' after a translation. It's required to find the rule of the translation.

The same rule should be applied to each one of the vertices, so we can find it by subtracting any pair of corresponding points, for example:

A'(5, 4) - A(2, 3) = (3, 1)

B'(4, 3) - B(1, 2) = (3, 1)

If we continue to test each pair of points, we would get the same difference, thus the rule of the translation is:

Figure ABCD is translated 3 units right and 1 unit up