Question

+10B-10-8-644810Bc8--10and aWe can show that ABC is congruent to AA'BC by a translation ofunits)across the-axis.

Answer 1

ABC is congruent to A'B'C' by a translation of 2 units and a reflection across the x-axis

Step-by-step explanation

We want to identify the transformations that were carried out on ABC to obtain A'B'C'.

First, we notice that A'B'C' is not aligned with ABC because the vertex of B' is 2 units behind the vertex of B.

So, we can say that there was a translation of 2 units to the left or -2 units..

Also, we notice that the vertices of ABC were flipped over the x-axis to obtain A'B'C'.

Therefore, we can conclude that there was a reflection across the x axis.

Hence, ABC is congruent to A'B'C' by a translation of 2 units and a reflection across the x-axis.