Question

What series of transformations map

△ABC
onto
△DEF
to prove that
ABC≅DEF
?



translation 3 units left then a reflection across x-axis

translation 3 units left then a reflection across y-axis

translation 3 units right then a reflection across x-axis

translation 3 units right then a reflection across y-axis

Answer 1

The answer to this would be a translation 3 units left and a reflection across the y axis. The y and not the x because a reflection like that would have the second shape on the lower half of the graph which is not what we want. 3 units left because 3 units right would put it on the right half of the y axis and reflect it the wrong way.

Answer 2

translation 3 units left then a reflection across y-axis
you can see that moving ABC 3 to left makes it look like a mirror image of DEF on other side of y-axis, that's what a reflection across the y will do