Question

The vertices of figure EFGH have coordinates E(1, 3), F(2, 5), G(4, 4) , and H(3, 3) . The vertices of figure E'F'G'H' have coordinates E′(3, -1), F′(4, 1), G′(6, 0) , and H′(5, -1) .
Which transformation of ​ figure EFGH ​ produced ​ figure E'F'G'H' ​ ?


A.) a translation 2 units right and 4 units down

B.) a reflection across the y-axis

C.) a translation 2 units left and 4 units up

D.) a reflection across the x-axis

Answer 1

The correct answer is A) a translation 2 units right and 4 units down.

Both of the reflections listed would keep the digits but change their signs and/or placement.
A translation 2 units right subtracts 2 from the x-coordinate.  A translation 4 units down subtracts 4 from the y-coordinate.  Comparing each pre-image point to its image, we can see that is what happened.